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CBSE Questions for Class 10 Maths Some Applications Of Trigonometry Quiz 2 - MCQExams.com

At a point 15 metres away from the base of a 15 metres high house, the angle of elevation of the top is
  • 450
  • 300
  • 600
  • 900
The angle of elevation of a cloud from a point h m above the level of water in a lake is α and the angle of depression of its reflection in the lake is β.Then the height of the cloud above the water level is hsin(βα)sin(β+α)
  • True
  • False
The angles of elevation of the top of a tower from two points on the ground at distances a metres and b metres from the base of the tower and in the same straight line are complementary. The height of the tower is ab metres.
  • True
  • False
AB is vertical pole with B at the ground level and A at the top. A man find that the angle of elevation of the point A from a certain point C on the ground is 60o. He moves away from the pole along the line BC to a point D such that CD=7 m. From D the angle of elevation of the point A is 45o. Then the height of the pole is:
  • 732131m
  • 732(3+1)m
  • 732(31)m
  • 73213+1m
A bridge above the river makes an angle of 45o with the bank of river. If length of bridge above the river is 150 m then breadth of river will be
  • 75 m
  • 502 m
  • 150 m
  • 752 m
A flagstaff stands on the middle of a square tower. A man on the ground, opposite to the middle of one face and distant from it 100 m, just see the flag ; on his receding another 100 m, the tangents of the elevation of the top of the tower and the top of the flagstaff are found to be 12 and 59. Find the height of the flagstaff, the ground being horizontal
  • 20
  • 25
  • 30
  • 35
As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. An equation to model the motion is y=20cos(π4(t3))+23. Predict your height above the ground at a time of 1 seconds.
  • 20.86ft
  • 23ft
  • 8.14ft
  • 18.96
The shadow of a tower, when the angle of elevation of the sun is 45o, is found to be 10 metres longer than when the angle of elevation is 60o. Find the height of the tower.
  • 15+53 m
  • 12+53 m
  • 15+3 m
  • 12+3 m
The shadow of a 6 m high tower is 15 m and at the same point of time length of shadow of a tree  is 25 m. What is the height of the tree?
  • 21 m
  • 10 m
  • 35 m
  • none of these
If a ladder 13m is placed against a wait such that its roots at a distance from the wall, then the height of the top of the ladder from the ground :

  • 10m
  • 11m
  • 12m
  • None of these
A tower stands vertically on the ground. From a point on the ground which is 30 m away from the foot of a tower, the angle of elevation of the top of the tower is found to be 45o.  Find the height of tower.
  • 15
  • 40
  • 30
  • 20
A man observes the angle of elevation of a balloon to be 300 at a point A. He then walks towards the balloon and at a certain place B, he finds the angle of elevation to be 600. He further walks in the direction of the balloon and finds it to be directly over him at a height of 12 km, then the distanceAB is:
  • 12 km
  • 13 km
  • 14 km
  • 15 km
The horizontal distance between two towers is 60 m and angular depression of the top of the first as seen from the second, which is 150 m in height, is 300. The height of the first tower is
  • (150+203) m
  • (150+153) m
  • (150205) m
  • (150203) m
 A kite is flying with the string inclined at 30o to the horizon.  The height of the kite above the ground, when the string is 15 m long is 
  • 15 m 
  • 30 m
  • 152 m
  • 153 m
From the top of the tree, a man observes the angle of depression of a point which is at a distance of 40 m from the foot is 750. The height of the tree is:
  • 403 m
  • 40(2+3) m
  • 213 m
  • 321 m
From the top of a hill h meters high, the angle of depression of the top and the bottom of a pillar are α, β respectively. Then the height(in meters) of the pillar is
  • h(tanβtanα)tanβ
  • h(tanαtanβ)tanα
  • h(tanβ+tanα)tanβ
  • h(tanβ+tanα)tanα
From the top of a building h metres, the angle of depression of an object on the ground is α, the distance of the object from the foot of the building is
  • hcotα
  • htanα
  • hcosα
  • hsinα
The angle of elevation of an object from a point P on the level ground is α. Moving d meters on the ground towards the object, the angle of elevation is found to be β, then the height (in meters) of the object is
  • dtanα
  • dcotβ
  • dcotα+cotβ
  • dcotαcotβ
The flag staff of height 10 metres is placed on the top of a tower of height 30 metres. At the top of a tower of height 40 metres, the flag staff and the tower subtend equal angles then the distance between the two towers (in metres) is
  • 402
  • 102
  • 202
  • 302
Straight pole(AB) subtends a right angle at a point D of another pole at a distance of 30 meters from A, the top of A being 600 above the horizontal line joining the point B to the pole A. The length of the pole A is, in meters
  • 203
  • 403
  • 603
  • 403
The upper part of a tree broken over by the wind makes an angle of 600 with the ground and touches the ground at a distance of 50 metres from the foot.  The height of the tree in metres is 
  • 124.2
  • 186.6
  • 243.2
  • 164.2
The angle of elevation of the top of a flagstaff when observed from a point at a distance 60 meters from its foot is 300. The height of the flagstaff (in meters) is: 
  • 203
  • 103
  • 603
  • 303
A tower subtends an angle α at a pointA on the same level as the foot of the tower B is a point vertically above A and AB=h metres. The angle of depression of the foot of the tower from B is β. The height of the tower is
  • htanαcotβ
  • htanαtanβ
  • hcotαcotβ
  • hcotαtanβ
In a prison wall there is a window of 1 metre height, 24 metres from the ground. An observer at a height of 10m from ground, standing at a distance from the wall finds the angle of elevation of the top of the window and the top of the wall to be 450 and 600 respectively. The height of the wall above the window is
  • 153
  • 15(113)
  • 15(31)
  • 14(31)
The horizontal distance between two towers is 30 meters. From the foot of the first tower the angle of elevation of the top of the second tower is 60o. From the top of the second tower the angle of depression of the top of the first is 30o. The height of the small tower is:
  • 20(3+1) mts
  • 20(31) mts
  • 203 mts
  • 20 mts
If from the top of a tower of 60 metre high, the angles of depression of the top and floor of a house are α and β respetivley and if the height of the house is 60sin(βα)x, then x=
  • sinαsinβ
  • cosαcosβ
  • sinαcosβ
  • cosαsinβ

On the level ground the angle of elevation of the top of a tower is 300 On moving 20 metres nearer tower, the angle of elevation is found to be 600 The height of the towerin metres is
  • 10 3
  • 83
  • 63
  • 53
lf the shadow of a tower is 3 times of its height, the altitude of the sun is
  • 150
  • 300
  • 450
  • 600
Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, find the distance between their tips.
  • 13 m
  • 15 m
  • 14 m
  • none of the above

The angle of elevation of the top of a hill when observed from a certain point on the horizontal plane through its base is 300. After walking 120 meters towards it on level ground the elevation is found to be 600. Find the height of the hill(in meters).
  • 120
  • 603
  • 1203
  • 60
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