SOME APPLICATIONS OF TRIGONOMETRY

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About this quiz :

Series name : Boostup
Class : 10th
Subject : maths
Syllabus : SOME APPLICATIONS OF TRIGONOMETRY
Total questions : 15
Total marks : 15

The angle of elevation of the top of a tower from certain point is 30°. If the observer moves 20 metres towards the tower, the angle of elevation of the top increases by 15°. Find the height of the tower *

1 point

10 (√3 + 1)

5√3

5 (√3 + 1)

10√3

The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60°, then the distance between the two towers is *

1 point

10√3 m

15√3 m

12√3 m

36 m

If the angles of elevation of the top of a tower from two points at the distance of 3 m and 12 m from the base of tower and in the same straight line with it are complementary, then the height of the tower (in m) is *

1 point

100

If a pole 6m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is *

1 point

60°

45°

30°

90°

The height or length of an object or the distance between two distant objects can be determined with the help of *

1 point

Trigonometry angles

Trigonometry ratios

Trigonometry identities

None of the above

If the length of the shadow of a tree is decreasing then the angle of elevation is: *

1 point

Increasing

Decreasing

Remains the same

None of the above

The angle of elevation of the top of a building from a point on the ground, which is 30 m away from the foot of the building, is 30°. The height of the building is *

1 point

10 m

30/√3 m

√3/10 m

30 m

A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height h. At a point on the plane, the angles of elevation of the bottom and the top of the flag staff are α and β, respectively. Then the height of the tower is: *

1 point

The shadow of a tower standing on a level plane is found to be 50 m longer when Sun’s elevation is 30° than when it is 60°. Then the height of tower is *

1 point

20√3

25√3

10√3

30√3

If at some time, the length of the shadow of a tower is √3 times its height, then the angle of elevation of the sun, at that time is: *

1 point

15°

30°

45°

60°

If a man standing on a platform 3 metres above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is *

1 point

equal to the angle of depression of its reflection

double to the angle of depression of its reflection

not equal to the angle of depression of its reflection

None of These

If the height of the building and distance from the building foot’s to a point is increased by 20%, then the angle of elevation on the top of the building *

1 point

Increases

Decreases

Do not change

None of the above

The angle formed by the line of sight with the horizontal when the point is below the horizontal level is called *

1 point

Angle of elevation

Angle of depression

No such angle is formed

None of the above

A 6 feet tall man finds that the angle of elevation of a 24 feet high pillar and the angle of depression of its base are complementary angles. The distance of man from the pillar is *

1 point

4√3 feet

6√3 feet

8√3 feet

10√3 feet

A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be A and B respectively. Then the height of the other house is *

1 point

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