JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 22 - MCQExams.com

Two pillars of equal height stand on either side of a roadway which 60 m wide. At a point in the roadway between the pillars, the elevation of the top of pillars are 60c and 30c. The height of the pillars is

  • Maths-Trigonometric ldentities and Equations-58245.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58246.png
  • 15 m
  • 20 m
Angles of elevation of the top of a tower from three points (collinear)A, B and C on a road leading to the foot of the tower are 30o, 45o and 60o respectively. The ratio of AR to BC is

  • Maths-Trigonometric ldentities and Equations-58248.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58249.png

  • Maths-Trigonometric ldentities and Equations-58250.png

  • Maths-Trigonometric ldentities and Equations-58251.png
The angular elevation of a tower CD at a point A due south of it is 60o and at a point B due west of A, the elevation is 30o. If AB = 3km, the height of the tower is

  • Maths-Trigonometric ldentities and Equations-58253.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58254.png

  • Maths-Trigonometric ldentities and Equations-58255.png

  • Maths-Trigonometric ldentities and Equations-58256.png
20 metre high flag pole is fixed on a 80 metres high pillar, 50 metres away from it, on a point on the base of pillar the flag pole makes an angle α, then the value of tanα, is

  • Maths-Trigonometric ldentities and Equations-58258.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58259.png

  • Maths-Trigonometric ldentities and Equations-58260.png

  • Maths-Trigonometric ldentities and Equations-58261.png
Two men are on the opposite side of a tower. They measure the angles of elevation of the top of the tower 45o and 30o respectively. If the height of the tower is 40 m, find the distance between the men
  • 40 m
  • 40√3 m
  • 68.280 m
  • 19.28 m
The angles of elevation of the top of a tower (A) from the top (B) and bottom (D) at a building of height a are 30o and 45o respectively. If the tower and the building stand at the same level, then the height of the tower is

  • Maths-Trigonometric ldentities and Equations-58264.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58265.png

  • Maths-Trigonometric ldentities and Equations-58266.png

  • Maths-Trigonometric ldentities and Equations-58267.png
A ladder 5 metre long leans against a vertical wall. The bottom of the ladder is 3 metre from the wall. If the bottom of the ladder is pulled 1 metre farther from the wall, how much does the top of the ladder slide down the wall
  • 1 m
  • 7 m
  • 2 m
  • None of these
The angle of elevation of the top of a pillar at any point A on the ground is On walking 40 metres towards the pillar, the angle become 30o. The height of the pillar is
  • 40 m
  • 20 m

  • Maths-Trigonometric ldentities and Equations-58270.png

  • Maths-Trigonometric ldentities and Equations-58271.png
The top of a hill observed from the top and bottom of a building of height h is at the angle of elevation p and q respectively. The height of the hill is

  • Maths-Trigonometric ldentities and Equations-58273.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58274.png

  • Maths-Trigonometric ldentities and Equations-58275.png
  • None of these
The shadow of a tower standing on a level ground is x metre long when the sun’s altitude is 300, while it is y metre long when the altitude is 60°. If the height of the tower is 45 √3/2 metre, then x — y is

  • Maths-Trigonometric ldentities and Equations-58277.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58278.png

  • Maths-Trigonometric ldentities and Equations-58279.png

  • Maths-Trigonometric ldentities and Equations-58280.png
If the angle of elevation of the top of tower at a distance 500 m from its foot is 30o, then the height of the tower is

  • Maths-Trigonometric ldentities and Equations-58282.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58283.png

  • Maths-Trigonometric ldentities and Equations-58284.png

  • Maths-Trigonometric ldentities and Equations-58285.png
For a man, the angle of elevation of the highest point of the temple situated east of him is 60o. On walking 240 metres to north, the angle of elevation is reduced to 30°, then the height of the temple is

  • Maths-Trigonometric ldentities and Equations-58287.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58288.png

  • Maths-Trigonometric ldentities and Equations-58289.png

  • Maths-Trigonometric ldentities and Equations-58290.png
From the top of a hill h metres high the angles of depressions of the top and the bottom of a pillar are α and β respectively. The height (in metres) of the pillar is

  • Maths-Trigonometric ldentities and Equations-58292.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58293.png

  • Maths-Trigonometric ldentities and Equations-58294.png

  • Maths-Trigonometric ldentities and Equations-58295.png

Maths-Trigonometric ldentities and Equations-58297.png

  • Maths-Trigonometric ldentities and Equations-58298.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58299.png

  • Maths-Trigonometric ldentities and Equations-58300.png

  • Maths-Trigonometric ldentities and Equations-58301.png

Maths-Trigonometric ldentities and Equations-58303.png

  • Maths-Trigonometric ldentities and Equations-58304.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58305.png

  • Maths-Trigonometric ldentities and Equations-58306.png
  • None of these

Maths-Trigonometric ldentities and Equations-58308.png

  • Maths-Trigonometric ldentities and Equations-58309.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58310.png

  • Maths-Trigonometric ldentities and Equations-58311.png
  • None of these

Maths-Trigonometric ldentities and Equations-58313.png

  • Maths-Trigonometric ldentities and Equations-58314.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58315.png

  • Maths-Trigonometric ldentities and Equations-58316.png

  • Maths-Trigonometric ldentities and Equations-58317.png
The general solution of a cos x + bsin x = c, where a, b, c are constants will be

  • Maths-Trigonometric ldentities and Equations-58319.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58320.png

  • Maths-Trigonometric ldentities and Equations-58321.png

  • Maths-Trigonometric ldentities and Equations-58322.png

Maths-Trigonometric ldentities and Equations-58324.png

  • Maths-Trigonometric ldentities and Equations-58325.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58326.png

  • Maths-Trigonometric ldentities and Equations-58327.png

  • Maths-Trigonometric ldentities and Equations-58328.png
If sin 2 x + sin 4 x 2 sin 3 x, then x

  • Maths-Trigonometric ldentities and Equations-58330.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58331.png

  • Maths-Trigonometric ldentities and Equations-58332.png
  • None of these

Maths-Trigonometric ldentities and Equations-58334.png

  • Maths-Trigonometric ldentities and Equations-58335.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58336.png

  • Maths-Trigonometric ldentities and Equations-58337.png
  • None of these

Maths-Trigonometric ldentities and Equations-58339.png

  • Maths-Trigonometric ldentities and Equations-58340.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58341.png

  • Maths-Trigonometric ldentities and Equations-58342.png

  • Maths-Trigonometric ldentities and Equations-58343.png

Maths-Trigonometric ldentities and Equations-58345.png
  • 2
  • 3
  • 4
  • 5

Maths-Trigonometric ldentities and Equations-58347.png

  • Maths-Trigonometric ldentities and Equations-58348.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58349.png

  • Maths-Trigonometric ldentities and Equations-58350.png

  • Maths-Trigonometric ldentities and Equations-58351.png

Maths-Trigonometric ldentities and Equations-58353.png
  • 1
  • 2
  • Infinite
  • None of these

Maths-Trigonometric ldentities and Equations-58355.png
  • 2
  • 4
  • 6

If a, b, care the sides of the triangle ABC, then which of the following inequalities is not true

  • Maths-Trigonometric ldentities and Equations-58357.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58358.png

  • Maths-Trigonometric ldentities and Equations-58359.png

  • Maths-Trigonometric ldentities and Equations-58360.png
A tower stands at the centre of a circular park. A and B are two points on the boundary of the park such that AR (= a) subtends an angle of 60o at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30o. The height of the tower is

  • Maths-Trigonometric ldentities and Equations-58362.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58363.png

  • Maths-Trigonometric ldentities and Equations-58364.png

  • Maths-Trigonometric ldentities and Equations-58365.png
AB is a vertical tower. The point A is on the ground and C is the middle point of AB. The part CB subtend and angle α at a point P on the ground. If AP = n AB, then the correct relation is

  • Maths-Trigonometric ldentities and Equations-58367.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58368.png

  • Maths-Trigonometric ldentities and Equations-58369.png

  • Maths-Trigonometric ldentities and Equations-58370.png

Maths-Trigonometric ldentities and Equations-58372.png
  • s
  • 2)
    Maths-Trigonometric ldentities and Equations-58373.png

  • Maths-Trigonometric ldentities and Equations-58374.png

  • Maths-Trigonometric ldentities and Equations-58375.png

Maths-Trigonometric ldentities and Equations-58377.png

  • Maths-Trigonometric ldentities and Equations-58378.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58379.png

  • Maths-Trigonometric ldentities and Equations-58380.png

  • Maths-Trigonometric ldentities and Equations-58381.png

Maths-Trigonometric ldentities and Equations-58383.png
  • cosA, cosB, cosC are in A.P
  • sinA, sinB, sinC are in A.P
  • (a) and (b) both
  • a, b, c are in A.P

Maths-Trigonometric ldentities and Equations-58385.png

  • Maths-Trigonometric ldentities and Equations-58386.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58387.png

  • Maths-Trigonometric ldentities and Equations-58388.png

  • Maths-Trigonometric ldentities and Equations-58389.png

Maths-Trigonometric ldentities and Equations-58391.png
  • 1:2
  • 2:1
  • 2:3
  • 1:1

Maths-Trigonometric ldentities and Equations-58393.png

  • Maths-Trigonometric ldentities and Equations-58394.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58395.png

  • Maths-Trigonometric ldentities and Equations-58396.png

  • Maths-Trigonometric ldentities and Equations-58397.png

Maths-Trigonometric ldentities and Equations-58399.png
  • Right angled
  • Obtuse angled
  • Equilateral
  • Isosceles
If the perpendicular AD divides the base of the triangle ABC such that BD, CD and AD are in the ratio 2, 3 and 6 then A is equal to

  • Maths-Trigonometric ldentities and Equations-58401.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58402.png

  • Maths-Trigonometric ldentities and Equations-58403.png

  • Maths-Trigonometric ldentities and Equations-58404.png
In a triangle, the length of the two larger sides are 10 cm and 9 cm respectively. If the angles of the triangle in A.P., then the length of the third sided in cm can be

  • Maths-Trigonometric ldentities and Equations-58406.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58407.png

  • Maths-Trigonometric ldentities and Equations-58408.png

  • Maths-Trigonometric ldentities and Equations-58409.png

Maths-Trigonometric ldentities and Equations-58411.png
  • 0
  • 1
  • b
  • 2b

Maths-Trigonometric ldentities and Equations-58413.png

  • Maths-Trigonometric ldentities and Equations-58414.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58415.png

  • Maths-Trigonometric ldentities and Equations-58416.png
  • None of these

Maths-Trigonometric ldentities and Equations-58418.png

  • Maths-Trigonometric ldentities and Equations-58419.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58420.png

  • Maths-Trigonometric ldentities and Equations-58421.png
  • None of these

Maths-Trigonometric ldentities and Equations-58423.png

  • Maths-Trigonometric ldentities and Equations-58424.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58425.png

  • Maths-Trigonometric ldentities and Equations-58426.png

  • Maths-Trigonometric ldentities and Equations-58427.png

Maths-Trigonometric ldentities and Equations-58429.png

  • Maths-Trigonometric ldentities and Equations-58430.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58431.png

  • Maths-Trigonometric ldentities and Equations-58432.png
  • None of these

Maths-Trigonometric ldentities and Equations-58434.png
  • 1
  • 2
  • √3
  • √2

Maths-Trigonometric ldentities and Equations-58436.png
  • Right angled
  • Equilateral
  • Acute angled
  • Obtuse angled

Maths-Trigonometric ldentities and Equations-58438.png

  • Maths-Trigonometric ldentities and Equations-58439.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58440.png

  • Maths-Trigonometric ldentities and Equations-58441.png

  • Maths-Trigonometric ldentities and Equations-58442.png
A tower is situated on horizontal plane. From two points, the line joining three points passes through the base and which are a and b distance from the base. The angle of elevation of the top are α and 90o – α and θ is that angle which two points joining the line makes at the top, the height of tower will be

  • Maths-Trigonometric ldentities and Equations-58444.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58445.png

  • Maths-Trigonometric ldentities and Equations-58446.png

  • Maths-Trigonometric ldentities and Equations-58447.png

Maths-Trigonometric ldentities and Equations-58449.png
  • 50 m
  • 25 m
  • 40 m
  • None of these
From the bottom of a pole of height h, the angle of elevation of the top of a tower is α and the pole subtends angle β at the top of the tower. The height of the tower is

  • Maths-Trigonometric ldentities and Equations-58451.png
  • 2)
    Maths-Trigonometric ldentities and Equations-58452.png

  • Maths-Trigonometric ldentities and Equations-58453.png
  • None of these
A person observes the angle of elevation of a building as 30o. The person proceeds towards the building with a speed of 25(√3 –m/hour. After 2 hours, he observes the angle of elevation as 45o. The height of the building (in metre) is
  • 100
  • 50

  • Maths-Trigonometric ldentities and Equations-58455.png

  • Maths-Trigonometric ldentities and Equations-58456.png
0:0:1


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