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Goshia [24]
3 years ago
11

A vertical light pole on a hillside casts a

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer: 37.4\ m

Step-by-step explanation:

Given length of shadow l=55\ m

Hill inclination 21.4^{\circ}

Angle of elevation for sun 48.3^{\circ}

Suppose the length of the pole is h

from the figure, and using sine rule. It can written

\Rightarrow \dfrac{55}{\sin 41.7^{\circ}}=\dfrac{h}{\sin 26.9^{\circ}}\\\\\Rightarrow h=55\cdot\dfrac{\sin 26.9^{\circ}}{\sin 41.7^{\circ}}\\\\\Rightarrow h=55\cdot 0.68011\\\Rightarrow h=37.40\ m

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