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alukav5142 [94]
3 years ago
9

The sun is behind a building and casting a shadow. How long is the shadow if the building is 25 feet tall and the angle, of the

shadow, opposite the building is 27°?

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0
ANSWER

The length of the shadow is 49 ft to nearest feet.

EXPLANATION

We can find the length of the shadow using the tangent ratio.

Recall that,

\tan(27 \degree) = \frac{opposite}{adjacent}
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle

\tan(27 \degree) = \frac{45}{adjacent}

This implies that,

adjacent = \frac{45}{tan27 \degree}

adjacent = 49 .065

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