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

Question

3 years ago

12

ow tall is the flagpole?

1 answer:

IRINA_888 [86] · Answer 1 · 2022-03-07T22:50:24+03:00

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.