A 1.5 m tall boy

Asked by maham237 @ 02/01/2021 in Mathematics viewed by 425 People

A boy 1.5 m tall can just see the sun over a wall 71.5 m high which is
40.41 m away from him. Find the angle of elevation of the sun.

Answered by maham237 @ 02/01/2021

Answer:

C. 45 degree angle

Step-by-step explanation:

let AB be the height of the wall and CD be the height of boy

with BC as distance between them.

we have AE = AB-BE = 3.64-1.54 = 2.1m

and ED = BC = 2.1m

in triangle AED, we have

tanФ = P/B = 2.1/2.1

tanФ = 1

∴ Ф = 45°

Hence the sun is elevated at an angle of 45 °.

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