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CBSE Questions for Class 10 Maths Some Applications Of Trigonometry Quiz 15 - MCQExams.com

Alex observed that the angle of elevation to the top of 800foot Mount Colin was 23. To the nearest foot, how much closer to the base of Mount Colin must Alex move so that his angle of elevation is doubled?
  • 200
  • 400
  • 489
  • 1112
The angle of elevation of the top of a vertical tower from two points at distances a and b (a>b) from the base and in the same line with it, are complimentary. If θ is the angle subtended at the top of the tower by the line joining these points, then sinθ is equal to
  • a+bab
  • aba+b
  • (ab)ba+b
  • ab(a+b)b
The angle of elevation and the angle of depression are 30o and 30o respectively when seen from the top of the first building to the top and base of the second building. If the distance between the bases of two building is 12 m, then find the height of big building.
  • 163m
  • 123m
  • 143m
  • 203m
The top of a hill observed from the top and bottom of a building of height h is at angles of elevation p and q, respectively. The height of hill is ?
  • hcotqcotqcotq
  • hcotpcotpcotq
  • htanptanptanq
  • None of these
Elevation angle of the top of the mirror from the foot of the tower of height h is α and the tower subtend an angle β at the top of the mirror. Then, height of mirror is
  • hcot(αβ)cot(αβ)cotα
  • htan(αβ)tan(αβ)tanα
  • hcot(αβ)cot(αβ)+cotα
  • None of the above
The angle of elevation of a jet fighter from a point A on the ground is 60. After a flight of 15 seconds, the angle of elevation changes to 30. If the jet is flying at a speed of 720km/hr, find the constant height in m.
  • 2598m
  • 2690m
  • 2355m
  • 2405m
The angles of depression of the top and the  bottom of a 7 m tall building from the top of a tower are 450 and 600 respectively.Find the height of the tower in metres.
  • 7(3+3)
  • 72(33)
  • 72(3+3)
  • 7(33)
A spherical balloon of radius r subtends an angle at the eye of an observer, while the angle of elevation of its centre is β. What is the height of the centre of the balloon (neglecting the height of the observer)?
  • rsinβsin(α2)
  • rsinβsin(α4)
  • rsin(β2)rsinα
  • rsinαsin(β2)
A man observes two objects in a straight line in the West. On walking a distance c to the North, the objects subtend an angle α, in front of him and on walking a further distance c to the North, they subtend an angle β. The distance between the objects is 3c2cotβcotα
  • True
  • False
A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60. Find the time taken by the car to reach the foot of the tower from this point.
  • 3 sec
  • 4 sec
  • 2 sec
  • 6 sec
The foot of the ladder leaning against a wall of length 5 metre rest on a level ground 53 metre from the base of the wall. The angle of inclination of the ladder with the ground is: 
  • 90
  • 50
  • 40
  • 30
The angles of elevation of the top of a mountain from two points A and B on a horizontal line are 15 and 75. If AB=650 mt, then the height of the mountain is ______________.
  • 32533mt
  • 32532mt
  • 32433mt
  • 32432mt
The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 m from its base is 45. If the angle of elevation of the top of the complete pillar at the same point is to be 60, then the height of the incomplete pillar is to be increased by : 
  • 502
  • 100
  • 100(31)
  • 100(3+1)
There are two statins P.Q due north, due south of a tower of height 15 meters. The angle of depression of P and Q as seen from top a tower are cot1125,sin135. The distance between P and Q is ..
  • 48
  • 56
  • 65
  • 25
The angular elevation of tower CD at a point A due south of it is 60 and at a point B due west of A, The elevation is 30 If AB= 3 km, The height of lower is 
  • 23km
  • 26km
  • 332km
  • 364km
A ladder rest against wall at an angle α to the horizontal . Its foot is pulled away from the wall through a distance 'a' so that it slides a distance 'b' down the wall making an angle β with the horizontal , then tanα+β2 =
  • b/a
  • a/b
  • 2/ab
  • 2a/b
A balloon of radius r subtends an angle α at the eye of an observer and the elevation of the centre of the balloon from the eye is β, the height h of the centre of the balloon is given by 
  • rsinβsinα
  • rsinβsinα
  • rsinβsin(α/2)
  • rsinβsin(β/2)
The angle of elevation of the top of the tower observed from each of three points A, B, C on the horizontal ground, forming a triangle ABC, is observed to be θ. If 'R' be the circumradius of the triangle, then height of tower is :
  • Rtanθ
  • Rcotθ
  • Rsinθ
  • Rcosθ
A man standing on a level plain observes the elevation of the top of the pole of height h to be π12. He then walks a distance x towards the pole and finds that the elevation is now π6. If h=33 m then x2
  • 4356
  • 4355
  • 4354
  • 4353
A tower T1 of higher 60 m is located exactly opposite to a tower T2 of height 80 m on a straight road. From the top of T1, if the ngle of depression of the foot of T2 is twice the angle of elevation of the top of T2, then the width (in m) of the road between the feet of the towers T1 and T2 is :
  • 102
  • 103
  • 203
  • 202
Over a tower AB of height 10 mt there is a flag staff BC if AB and BC makes equal angles at a point of distance 12 mt from foot A of the tower , them height of flag staff BC is:-
  • 51011mt
  • 61011mt
  • 71011mt
  • none of these
A ladder rests against a wall at an angle α to the horizontal. Its foot is pulled away from the wall through a distance "a", so that it slides a distance 'd' down wall, finally making an angle β with the horizontal then tan(α+β2)=
  • ab
  • ba
  • 2aba2b2
  • 2abb2a2
The shadow of the tower standing on a level ground is found to be 60  meters longer when the sun altitude is 30 than when it is 45. The height of the tower is
  • 60 m
  • 30 m
  • 603m
  • 30(3+1)m
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