Question

27. From a point on the ground, the angles of elevation of the top and bottom of
a transmission tower fixed at the top of a 20m high building are 60° and 450
respectively. Find the height of the transmission tower.

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step by step explanation
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Answer 1

Answer:

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Step-by-step explanation:

Let DC be the tower and BC be the building. Then,

∠CAB=45°,∠DAB=60° ,BC=20 m

Let height of the tower, DC=h m.

In right△ABC,

tan45° = BC/AB

1 = 20/AB

AB=20 m

In right △ABD,

tan60° = BD/AB

√3 = h + 20 / 20

h=20(√2 - 1 ) m