HARD
10th ICSE
IMPORTANT
Earn 100

From the top of a building 20 m high, the angle of elevation of the top of a monument is 45° and the angle of depression of its foot is 15°. Find the height of the monument.

Important Questions on Heights and Distances

HARD
10th ICSE
IMPORTANT

In the adjoining figure, the shadow of a vertical tower on the level ground increases by 10 m, when the altitude of the sun changes from 45° to
30°. Find the height of the tower and give your answer, correct to 110 of a metre.  

Question Image 

HARD
10th ICSE
IMPORTANT
An aircraft is flying at a constant height with a speed of 360 km/h. From a point on the ground, the angle of elevation of the aircraft at an instant was observed to be 45°. After 20 seconds, the angle of elevation was observed to be 30°. Determine the height at which the aircraft is flying (use 3=1.732).
MEDIUM
10th ICSE
IMPORTANT
If a kite is flying at a height of 403 metres from the level ground, attached to a string inclined at 60° to the horizontal, then the length of the string is
EASY
10th ICSE
IMPORTANT
If the angle of depression of an object from a 75 m high tower is 30°, then the distance of the object from the tower is
EASY
10th ICSE
IMPORTANT
A ladder 14 m long rests against a wall. If the foot of the ladder is 7 m from the wall, then the angle of elevation is
MEDIUM
10th ICSE
IMPORTANT
A pole 6 m high casts a shadow 23 m long on the ground, then the sun's elevation is
EASY
10th ICSE
IMPORTANT
If the length of the shadow of a tower is 3 times that of its height, then the angle of elevation of the sun is
MEDIUM
10th ICSE
IMPORTANT
In ABC, A=30° and B=90°. If AC=8 cm, then its area is