HARD
10th ICSE
IMPORTANT
Earn 100

As observed from the top of a 80 m tall light house, the angles of depression of two ships on the same side of the light house in horizontal line with its base are 30° and 40° respectively. Find the distance between the two ships. Give your answer correct to the nearest metre.

Important Questions on Heights and Distances

HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 24
The angle of elevation of a pillar from a point A on the ground is 45° and from a point B diametrically opposite to A and on the other side of the pillar is 60°. Find the height of the pillar, given that the distance between A and B is 15 m.
EASY
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 25
From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30°and 60° respectively. If the height of the building is 10m, find the distance between A and B correct to two decimal places.
HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 26
The angles of depression of two ships A and B as observed from the top of a light house 60m high, are 60° and 45° respectively. If the two ships are on the opposite sides of the light house, find the distance between the two ships. Give your answer correct to the nearest whole number.
HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 27
 An aeroplane at an altitude of 250 m observes the angle of depression of two boats on the opposite banks of a river to be 45° and 60° respectively. Find the width of the river. Write the answer correct to the nearest whole number.
HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 28
From a tower 126 m high, the angles of depression of two rocks which are in a horizontal line through the base of the tower are 16° and 12° 20°. Find the distance between the rocks if they are on

(i) the same side of the tower

(ii) the opposite sides of the tower.

HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 29
A man 1.8 m high stands at a distance of 3.6 m from a lamp post and casts a shadow of 5.4 m on the ground. Find the height of the lamp post.
HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 30
The angles of depression of the top and the bottom of a 8 m tall building from the top of a multi-storeyed building are 30° and 45° respectively. Find the height of the multi-storeyed building and the distance between the two buildings, correct to two decimal places.
HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Exercise 20>Q 31
A pole of height 5 m is fixed on the top of a tower. The angle of elevation of the top of the pole as observed from a point A on the ground is 60° and the angle of depression of the point A from the top of the tower is 45°. Find the height of the tower. (Take 3=1.732)