HARD
10th ICSE
IMPORTANT
Earn 100

An aeroplane at an altitude of 1500 m finds that two ships are sailing towards it in the same direction. The angles of depression as observed from the aeroplane are 45° and 30°, respectively. Find the distance between the two ships in metres.

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Important Questions on Heights and Distances

HARD
10th ICSE
IMPORTANT
The horizontal distance between two towers is 120 m. The angle of elevation of the top and angle of depression of the bottom of the first tower as observed from the second tower are 30° and 24°, respectively. Find the heights of the two towers.
HARD
10th ICSE
IMPORTANT
An aeroplane at an altitude of 250 m observes the angles 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 in metres.
MEDIUM
10th ICSE
IMPORTANT

In the adjoining figure, from the top of a building AB=60 m high, the angles of depression of the top and bottom of a vertical lamp-post CD are observed to be 30° and 60°, respectively. Find the horizontal distance observed (in metres) between AB and CD.

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HARD
10th ICSE
IMPORTANT

In the adjoining figure, from the top of a building AB=60 m high, the angles of depression of the top and bottom of a vertical lamp-post CD are observed to be 30° and 60°, respectively. Find the height of the lamp-post in metres.

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HARD
10th ICSE
IMPORTANT
As observed from the top of a 80 m tall lighthouse, the angles of depression of two ships on the same side of the lighthouse in a horizontal line with its base are 30°and 40°, respectively. Find the distance between the two ships. Give your answer correct to the nearest metres.
HARD
10th ICSE
IMPORTANT
A man observes the angle of elevation of the top of a building to be 30° He walks towards it in a horizontal line through its base. On covering 60 m, the angle of elevation changes to 60°. Find the height of the building correct to the nearest meters.
HARD
10th ICSE
IMPORTANT
A tower stands at the centre of a circular park. If A and B are the two points on the boundary of the park such that AB=a m subtends an angle of 60°at the foot of the tower and the angle of elevation of the top of the tower from A or B is 30°, then the height of the tower is
MEDIUM
10th ICSE
IMPORTANT

Find the horizontal distance between BA and CD

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