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8. Height and Distance
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Q16 of 28 Page 93

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.


Let Height of the tower is BC = g.


Given, ∠CAB = 30o∠CDB = 60o AD = 40.


in ∆CAB,




……….(1)


in ∆CDB,




……….(2)


Equation (1) – Equation(2)







120 = 2g√3



(Rationalization)


g = 20√3


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14

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.

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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)

17

On observing from the top of a lighthouse 60 m high from the sea level, the angles of depression of two ships are 30° and 45°. If one ship is just behind the other ship on the same side of the lighthouse then find the distance between the ships.

18

A 1.5 m long boy is standing at a certain distance from a 30 m high building when he goes towards the high building then the angle of elevation of the top of the building from his eye becomes 60° from 30°. Find by how much distance he has walked towards the building.

Questions · 28
8. Height and Distance
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