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A boy 1.54 m tall can just see the sun over a wall 3.64 m high which is 2.1m away from him. Find the angle of elevation of the sun.




see the link for the figure

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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hope it helps
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