EASY
10th CBSE
IMPORTANT
Earn 100

The angles of depression of the top and the bottom of a building 50 meters high as observed from the top of a tower are 30° and 60° respectively. Find the height of the tower and also the horizontal distance between the building and the tower.

Important Questions on Heights & Distances

EASY
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 13
The angle of elevation of the top of a tower as observed from a point in a horizontal line through the foot of the tower is 30°. When the observer moves towards the tower a distance of 100 m, he finds the angle of elevation of the top to be 60°. Find the height of the tower and the distance of first position from the tower.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 14
A man on the roof of a house, which is 10 m high, observes the angle of elevation of the top of a building as 45° and angle of depression of the base of the building as 30°. Find the height of the building and its distance from the house.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 15
From the top of a building 15 m high, the angle of elevation of the top of a tower is found to be 30°. From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and the building. 
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 16
The horizontal distance between two towers is 70 m. The angles of depression of the top of the first tower, when seen from the top of the second tower is 30°. The height of the second tower is 120 m. If the height of the first tower is k m, then find the value of k (rounded off to one decimal place) considering 3=1.732. 
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 17
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 meters towards the foot of the tower to a point B, the angle of elevation increases to 60°. If the height of the tower is k3m, then find the value of k.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 18
Two points A and B are on the same side of a tower. They measure the angle of elevation of the top of the tower as 30° and 60° respectively. If the height of the tower is 80 m, find the distance between them.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 19
The shadow of a tower, when the angle of elevation of the Sun is 45°, is found to be 10 meters longer than when it is 60°. Find the height of the tower.
MEDIUM
10th CBSE
IMPORTANT
New Mathematics for Class X>Chapter 9 - Heights & Distances>EXERCISE>Q 20

The shadow of a vertical tower on level ground increases by 10 meters, when the altitude of the sun changes angle of elevation from 45° to 30°. Find the height of the tower, correct to one place of decimal. (Take 3=1.73)