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Class 10 Heights and distances Worksheet

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1.

The horizontal distance between two towers is 60 m. The angle of elevation of the top of the taller tower as seen from the top of the shoter one is . If the height of the taller tower is 150 m, then find the height of the shorter tower.

2.

The shadow of a tower standing on a level gound is found to be 40 m longer when the sun's altitude is then when it is . Find the height of the the tower.

3.

A man is standing on the top of a multi-storey building, which is 30 m high obsrve the angle of elevation of the top of a tower as and the angle of depression of the base of the tower as . Find the horizontal distance between the building and the tower. Also find the height of the tower.

4.

A tree breaks due to strom and the broken part bends so that the top of the treetouches the ground making an angle with it.the distance bwtween the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.

5.

From the top of loght house 40 m above the water, the angle of depression of a small boat is . Find how far the boat is from base of the light house.

6.

If the altitute of the sun is . what is the height of a tower which casts a shadow of length 30 m?

7.

Find the angle of elevation of the top of the tower from the point on the ground which is 30 m away from the foot of the tower of the height.

8.

Find the length of kite string flying at 100 m above the ground with the elevation of .

9.

A pole 6m high casts a shadow long on the ground, Then find the sun's elevation.

10.

The length of the shadow of a vertical pole is times its height . Find the suns altitude.

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