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10th ICSE
IMPORTANT
Earn 100

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).

Important Questions on Heights and Distances

MEDIUM
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Multiple Choice Questions>Q 1
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
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Multiple Choice Questions>Q 2
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
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Multiple Choice Questions>Q 3
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
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10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Multiple Choice Questions>Q 4
A pole 6 m high casts a shadow 23 m long on the ground, then the sun's elevation is
EASY
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Multiple Choice Questions>Q 5
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
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10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Multiple Choice Questions>Q 6
In △ABC, ∠A=30° and ∠B=90°. If AC=8 cm, then its area is
MEDIUM
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Chapter Test>Q 1

The angle of elevation of the top of a tower from a point A (on the ground) is 30°. On walking 50 m towards the tower, the angle of elevation is found to be 60°. Calculate the height of the tower (correct to one decimal place).

 

HARD
10th ICSE
IMPORTANT
Understanding ICSE Mathematics Class 10>Chapter 20 - Heights and Distances>Chapter Test>Q 1
The angle of elevation of the top of a tower from a point A (on the ground) is 30°. On walking 50 m towards the tower, the angle of elevation is found to be 60°. Calculate the distance of the tower from A.