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Height & Distance || 15.02.2021

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Question 1

P and Q are two points on the ground on either side of a pole. The angles of elevation of the top of the pole as observed from P and Q are 60° and 30°, respectively and the distance between them is 84√3 m. What is the height (in in) of the pole?

Question 2

From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30 and 60, respectively.

The distance between the objects is 32√3. The value of x is:

Question 3

The string of a kite is 30 m long and it makes an angle 60° with the horizontal. The height of the kite above the ground is:

Question 4

A pole of length 7 m is fixed vertically on the top of a tower. The angle of elevation of the top of the pole observed from a point on the ground is 60° and the angle of depression of the same point on the ground from the top of the tower is 45° . The height (in m) of the tower is :

Question 5

A ladder leaning against a wall makes an angle θ With the horizontal ground such that Sin θ =. If the foot of the ladder is 7.5 m from the wall, then what is the height of the point where the top of the ladder touches the wall?

Question 6

If the angle of elevation of tower changes from 30 ° to 45 °, the length of shadow decreases by 60 meters. Calculate the height of the tower?

Question 7

A person from the top of a hill observes a vehicle moving towards him at a uniform speed. It takes 12 minutes for the angle of depression to change from 45° to 60°. After this the time required by the vehicle to reach the bottom of the hill is

Question 8

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is-

Question 9

The angle of elevation of a cloud from a point 200m above a lake is 30 degree and the angle of depression of its reflection in the lake is 60 degree, the height at which cloud is moving?

Question 10

Arpit who is 7 feet tall casts a shadow 6 feet long. At the same time the tower casts a shadow 70 feet long. Calculate the height of the tower?
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Jun 11SSC & Railway