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ipn [44]
3 years ago
13

A 15-foot flagpole leans slightly, such that it makes an 80° angle with the ground. The shadow of the flagpole is 10 feet long w

hen the sun has an unknown angle of elevation. How could the angle of elevation of the sun, x, be determined?
Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:   48°

<u>Step-by-step explanation:</u>

The shadow is the adjacent side and the length of the flag is the hypotenuse

cos\ \theta=\dfrac{adjacent}{hypotenuse}\\\\\\cos\ \theta=\dfrac{10}{15}\\\\\\cos^{-1}(cos\ \theta)=cos^{-1}\bigg(\dfrac{10}{15}\bigg)\\\\\\.\qquad \qquad \boxed{\theta=48^o}

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