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Papessa [141]
3 years ago
12

The flagpole in front of CB East casts a shadow 40 feet long when the measurement of the angle of elevation to the sun is 31˚. H

ow tall is the flagpole?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
5 0

Answer: The length of flagpole is 24 feet.

Step-by-step explanation:

Since we have given that

Length of shadow =40 feet

Angle of elevation to the sun = 31\textdegree

In ΔABC,

We can apply "trigonometric rules ",

\tan\theta=\frac{AB}{BC}\\\\\tan31\textdegree=\frac{AB}{40}\\\\0.6\times 40=AB\\\\24\ feet=AB

Hence, the length of flagpole is 24 feet.

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