Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 102

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Question 1
4 / -1

From a point a metre above a lake the angle of elevation of a cloud is α and the angle of depression of its reflection is β. The height of the cloud is

A

B

C

D
None of these

Solution
Question 2
4 / -1

ABCD is a rectangular field. A vertical lamp post of height 12 m stand at the corner A. If the angle of elevation of its top from B is 60^o and from C is 45^o, then the area of the field is

A

B

C

D

Solution
Question 3
4 / -1

The shadow of a tower is found to be 60 metre shorter when the sun’s altitude changes from 30^o to 60^o. The height of the tower from the ground is approximately equal to

A
62 m

B
301 m

C
101 m

D
52 m

Solution
Question 4
4 / -1

At a distance 2h from the foot of a tower of height h, the tower and a pole at the top of the tower subtend equal angles. Height of the pole should be

A

B

C

D

Solution
Question 5
4 / -1

A house subtends a right angle at the window of an opposite house and the angle of elevation of the window from the bottom of the first house is 60^o. If the distance between the two houses be 6 metres, then the height of the first of the first house is

A

B

C

D
None of these

Solution
Question 6
4 / -1

The angle of elevation of the sun, when the shadow of the pole is √3 times the height of the pole is

A
60^o

B
30^o

C
45^o

D
15^o

Solution
Question 7
4 / -1

A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle 60^o with the horizontal and height of the house he 6√3 metres, then the length of the ladder is

A
12√3 m

B
12 m

C
12/√3 m

D
None of these

Solution
Question 8
4 / -1

If the angles of elevation of two from the middle point of the line joining their feet be 60^o and 30^o respectively, then the ration of their heights is

A
2:1

B
1: √2

C
3:1

D
1: √3

Solution
Question 9
4 / -1

At a point on the ground the angle of elevation of a tower is such that its cotangent is 3/5. On walking 32 metres towards the tower the cotangent of the angle of elevation is 2/5. The height of the tower is

A
160 m

B
120 m

C
64 m

D
None of these

Solution
Question 10
4 / -1

A ladder rests against a wall making an angle α with the horizontal. The foot of the ladder is pulled away from the wall through a distance x, so that it slides a distance y down the wall making an angle β with the horizontal. The correct relation is

A

B

C

D

Solution