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uysha [10]
3 years ago
9

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

The length of the shadow is 124.7 in

<u>Explanation:</u>

<u />

Given:

Angle, θ = 30°

Height of the fence,  h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = \frac{perpendicular}{base}  = \frac{height of the fence}{length of the shadow}

\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in

Therefore, the length of the shadow is 124.7 in

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