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˚. How tall is the flagpole?

Question

asked Dec 25, 2019 101k views

1 Answer

Uptoyou · Answer 1 · 2019-12-31T15:09:43+0000

Answer: The length of flagpole is 24 feet.

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 ",

$\tan\theta=(AB)/(BC)\\\\\tan31\textdegree=(AB)/(40)\\\\0.6* 40=AB\\\\24\ feet=AB$

Hence, the length of flagpole is 24 feet.