Answered

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what is the angle of elevation of the sun when a 49ft mast casts a 21ft shadow?

Sagot :

Answer:

66.8°

Explanation:

We can represent the situation with the following figure

So, we can calculate the measure of angle θ as follows

[tex]\begin{gathered} \tan\theta=\frac{\text{ Opposite side}}{\text{ Adjacent side}} \\ \\ \tan\theta=\frac{49}{21} \\ \\ \tan\theta=2.33 \\ \theta=\tan^{-1}(2.33) \\ \theta=66.8 \end{gathered}[/tex]

Therefore, the elevation of the sun is 66.8°

View image SavierF651231
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