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JEE Questions for Maths Trigonometric Ldentities And Equations Quiz 22 - MCQExams.com
JEE
Maths
Trigonometric Ldentities And Equations
Quiz 22
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
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2)
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15 m
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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 30
o
, 45
o
and 60
o
respectively. The ratio of AR to BC is
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2)
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0%
The angular elevation of a tower CD at a point A due south of it is 60
o
and at a point B due west of A, the elevation is 30
o
. If AB = 3km, the height of the tower is
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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
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Two men are on the opposite side of a tower. They measure the angles of elevation of the top of the tower 45
o
and 30
o
respectively. If the height of the tower is 40 m, find the distance between the men
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40 m
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40√3 m
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68.280 m
0%
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 30
o
and 45
o
respectively. If the tower and the building stand at the same level, then the height of the tower is
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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
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1 m
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7 m
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2 m
0%
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 30
o
. The height of the pillar is
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40 m
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20 m
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0%
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
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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
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If the angle of elevation of the top of tower at a distance 500 m from its foot is 30
o
, then the height of the tower is
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0%
For a man, the angle of elevation of the highest point of the temple situated east of him is 60
o
. On walking 240 metres to north, the angle of elevation is reduced to 30°, then the height of the temple is
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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
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0%
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0%
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0%
None of these
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0%
None of these
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0%
The general solution of a cos x + bsin x = c, where a, b, c are constants will be
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0%
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If sin 2 x + sin 4 x 2 sin 3 x, then x
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0%
None of these
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2)
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0%
None of these
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2)
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0%
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2
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3
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4
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5
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2)
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0%
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1
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2
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Infinite
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None of these
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2
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4
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6
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∞
If a, b, care the sides of the triangle ABC, then which of the following inequalities is not true
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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 60
o
at the foot of the tower, and the angle of elevation of the top of the tower from A or B is 30
o
. The height of the tower is
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2)
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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
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2)
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0%
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s
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2)
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0%
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0%
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cosA, cosB, cosC are in A.P
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sinA, sinB, sinC are in A.P
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(a) and (b) both
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a, b, c are in A.P
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2)
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0%
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1:2
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2:1
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2:3
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1:1
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2)
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0%
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Right angled
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Obtuse angled
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Equilateral
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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
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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
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2)
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0%
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0
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1
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b
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2b
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2)
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0%
None of these
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2)
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0%
None of these
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0%
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2)
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None of these
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1
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2
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√3
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√2
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Right angled
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Equilateral
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Acute angled
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Obtuse angled
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2)
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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 90
o
– α and θ is that angle which two points joining the line makes at the top, the height of tower will be
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2)
0%
0%
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50 m
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25 m
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40 m
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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
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2)
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None of these
A person observes the angle of elevation of a building as 30
o
. The person proceeds towards the building with a speed of 25(√3 –m/hour. After 2 hours, he observes the angle of elevation as 45
o
. The height of the building (in metre) is
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100
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50
0%
0%
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