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9. Some Applications of Trigonometry: Heights and Distances
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Q27 of 68 Page 9

An aeroplane flies from the ground making an angle of 30° with the ground and covers a distance of 184 m. What will be the height of the aeroplane above the ground?

27


From the ∆ABC,





Therefore, height of the plane is 92 m.


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25

A circus artist climbs on a rope which is tied between the top of a pole and a fixed point on the level ground. The height of the pole is 12 m and the rope makes an angle of with the ground. Find the distance covered by the artist to climb to the top of the pole. [sinθ= 0.5783]

26

In order to cross a river, a person has to cover a distance of 250 m along the straight bridge from one end to the other. I f the bridge makes an angle of 30° with the edge of the river, find the width of the river.

28

A man of height 1 .5 m sees the top of a tree and the angle of elevation of the top at his eye is 60°. Find the height of the tree if the distance of the man from the tree is 36 m.

29

A man who is tall sees that angle of elevation of the top of a temple is 30°. If the distance of the man from the temple is 15 m, find the height of the temple.

Questions · 68
9. Some Applications of Trigonometry: Heights and Distances
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