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8. Height and Distance
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Q14 of 28 Page 93

From a point situated at a distance of 100 m from the base of a tower. The angle of elevation of the top is 30°. Then find the height of the tower.


Let Height of the tower g. Angle of elevation is 30o.


Given, ∠BAC = 30o, AB = 100.








g = 57.733


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12

A tree breaks due to storm and the broken upper part of the tree makes an angle of 60° with the horizontal plane. The top of the tree meets the horizontal plane at a distance of 10 m from the root of the tree. Find the height of the tree before breaking. (√3 = 1.732)

13

From a point at a distance of 120 m from the base of an incomplete tower the angle of elevation of the top of the tower is 30°. Find how much more height the tower be made so that its angle of elevation at the same point becomes 60°?

15

The angle of elevation of the top of a pillar from a point situated on a plane in 15°. On walking 100 m towards the pillar the angle of elevation becomes 30°. Then find the height of the pillar. (where, tan 15° = 2√3)

16

The shadow of a tower standing on a plane ground becomes 40 m longer when the angle of elevation of the Sun becomes 30° after reduction from 60°. Find the height of the tower.

Questions · 28
8. Height and Distance
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