MEDIUM
10th CBSE
IMPORTANT
Earn 100

The angles of elevation of the top of a tower from two points at distance of 5 metres and 20 metres from the base of the tower and is the same straight line with it, are complementary. Find the height of the tower.

Important Questions on Heights and Distances

MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 5
The angle of elevation of the top of a tower at a distance of 120 m from a point A on the ground is 45°. If the angle of elevation of the top of a flagstaff fixed at the top of the tower, at A is 60°, then find the height of the flagstaff [Use 3=1.732]
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 6
From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30° . The angle of elevation of the top of a water tank (on the top of the tower) is 45°, Find (i) the height of the tower, (ii) the depth of the tank.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 7
The vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height 6m. At a point on the plane, the angle of elevation of the bottom of the flagstaff is 30° and that of the top of the flagstaff 60° . Find the height of the tower
[Use 3=1.732]
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 8
A statue 1.46 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point, the angle of elevation of the top of the pedestal is 45° . Find the height of the pedestal.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 9
The angle of elevation of the top of an unfinished tower at a distance of 75 m from its base is 30°. How much higher must the tower be raised so that the angle of elevation of its top at the same point may be 60°?
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 10
On a horizontal plane there is a vertical tower with a flagpole on the top of the tower. At a point, 9 metres away from the foot of the tower, the angle of elevation of the top and bottom of the flagpole are 60° and 30° respectively. Find the height of the tower and the flagpole mounted on it. [Take 3=1.732]
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 11
Two poles of equal heights are standing opposite to each other on either side of the road which is 80 m wide, From a point O between them on the road, the angle of elevation of the top of one pole is 60° and the angle of depression from the top of another pole at O is 30°. Find the height of each pole and distances of the point O from the poles.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 14 - Heights and Distances>Exercise 14>Q 12
Two men are on opposite sides of tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 50 meters, find the distance between the two men. [Take 3 = 1.732]