What is the angle of elevation of the sun if a tree with a height of 9m casts a ...

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jasterbeltran700 @jasterbeltran700

January 2022 1 3 Report

What is the angle of elevation of the sun if a tree with a height of 9m casts a shadow of 3m?

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$\large\underline \mathcal{{QUESTION:}}$

What is the angle of elevation of the sun if a tree with a height of 9m casts a shadow of 3m?

$\\$

$\large\underline \mathcal{{SOLUTION:}}$

We will use the trigonometric ratio TOA

$\quad \boxed{\begin{array}{}\rm tan(x) = \frac{opposite} {adjacent} \\ \\\rm t an(x) = \frac{9}{3} \\ \\\rm tan(x) = 3 \\ \\\rm \frac{tan(x)}{tan} = \frac{3}{tan} \\ \\\rm x = tan^{-1}(3) \\ \\ \: \: \: \: \: \: \: \: \: \: \rm x = 71.56 \:\:or\:\: \boxed{71.6}\end{array}}$

$\\$

$\large\underline \mathcal{{ANSWER:}}$

The angle elevation is 71.6°

ethansethbarbon paano mag box

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