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

Question

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] · Answer 1 · 2022-05-14T19:02:58+03:00

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

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