Question

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?

Answer 1

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.