Question

If the shadow of a tower is 30 m long, when the sun's elevation is 30˚. What is the length of the shadow, when sun's elevation is 60 ˚.

Answer 1

Hey mate here we go

$first \: we \: need \: to \: understand \: problem \: \\ they \: said \: shadow \: of \: tower \: is \: 30m \: \\ at \: 30 \: degree \: of \: sun \\ now \: see \: sin \alpha = \frac{opposite \: side}{hypotines} \\ now \: sin \: 30 = \frac{30m}{hyp} \\ have \: to \: find \: hyp \\ hyp = \frac{30}{sin \: 30} \\ hyp = 120m \\ \: now \: \\ the \: sun \: have \: elevation \: of \: 60 \: degree \\ so \: now \: have \: to \: find \: the \: shadow \: length \\ sin \: 60 = \frac{length(opp)}{hyp} \\ sin \: 60 = \frac{length}{120} \\ length = sin \: 60 \times 120m \\ length = 103.9m \: \\ or \: l = 104m \:$

I hope this will help you

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