Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 101

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Question 1
4 / -1

An observer on the top of a tree, finds the angle of depression of a car moving the tree to be 30^o. After 3 minutes this angle becomes 60^o. After how much more time, the car will reach the tree

A
4 min

B
4.5 min

C
1.5 min

D
2 min

Solution
Question 2
4 / -1

A house of height 100 metres subtends a right angle at the windows of an opposite house. If the height of the window be 64 metre, then the distance between the two houses is

A
48m

B
36m

C
54m

D
72m

Solution
Question 3
4 / -1

The length of the shadow of a pole inclines at 10^o to the vertical towards the sun is 2.05 metres, when the elevation of the sun is 38^o. The length of the pole is

A

B

C

D
None of these

Solution
Question 4
4 / -1

AB is a vertical pole with B at the ground level and A at the top. A man finds that the angle of elevation of the point A from a certain point C on the ground is 60^o. He moves away from the pole along the line BC to a point D such that CD = 7cm. From D the angle of elevation of the point A is 45^o. Then the height of the pole is

A

B

C

D

Solution
Question 5
4 / -1

The horizontal distance between two towers is 60 metres and the angular depression of the top of the first tower as seen from the top of the second, is 30^o. If the height of the second tower be 150 metres, then the height of the first tower is

A

B

C

D
None of these

Solution
Question 6
4 / -1

From the top of a light house 60 meters height with its base at the sea level, the angle of depression of a boat is 15^o. The distance of the boat from the foot of light house is

A

B

C

D
None of these

Solution
Question 7
4 / -1

An observer in a boat finds that the angle of elevation of a tower standing on the top of a cliff is 60^o and that of the top is cliff is 30^o. If the height of the tower be 60 metres, then the height of the cliff is

A
30 m

B
60√3 m

C
20√3 m

D
None of these

Solution
Question 8
4 / -1

A tower subtends an angle α at a point A in the plane of its base and the angle of depression of the foot of the tower at a point l metres just above A is β. The height of the tower is

A

B

C

D

Solution
Question 9
4 / -1

The angle of elevation of a tower from s point A due south of it is 30^o and from a point B due west of it is 45^o. If the height of the tower be 100 m, then AB =

A
150 m

B
200 m

C
173.2 m

D
141.4 m

Solution
Question 10
4 / -1

A aeroplane flying horizontal 1 km above the ground is observed at an elevation of 60^o and after 10 seconds the elevation is observed to be 30^o. The uniform speed of the aeroplane is km/h is

A
240

B
240√3

C
60√3

D
None of these

Solution