Question

A blimp provides aerial television views of a football game. The television camera sights the stadium at a 7° angle of depression. The altitude of the blimp is 400 meters. Which of the following is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest meter.

A. 403 m
B. 3,257 m
C. 3,282 m
D. 4,500 m

PLEASE HELP!

Answer 1

The line-of-sight distance from the television camera to the case of the stadium is x = 3282 m

Explanation:

Given data

From ΔABC

AB = The altitude of the blimp is = 400 m

AC = The line-of-sight distance from the television camera to the case of the stadium = x

Now

`\text{sin} \ 7=\frac{\text{AB}}{\text{AC}}`

`x=\frac{\text{AB}}{\text{sin} \ 7}`

`x=\frac{\text{400}}{\text{sin} \ 7}`

x = 3282 m

Therefore, the line-of-sight distance from the television camera to the case of the stadium.