Question

A blimp provides aerial television views of a tennis game. The television camera sights the stadium at a 17degrees angle of depression. The altitude of the blimp is 400m. What is the​ line-of-sight distance from the television camera to the base of the stadium​? Round to the nearest hundred meters.

Answer 1

Answer:

1379.31meters  is the​ line-of-sight distance from the television camera to the base of the stadium​ .

Step-by-step explanation:

As given

A blimp provides aerial television views of a tennis game.

The television camera sights the stadium at a 17degrees angle of depression. The altitude of the blimp is 400m.

Now by using the trignometric identity .

$sin\theta = \frac{Perpendicular}{Hypotenuse}$

As the figure is given below .

Perpendicular = AC = 400 m

Hypotenuse = AB

$\theta = 17^{\circ}$

Putting all the values in the identity .

$sin17^{\circ} = \frac{400}{AB}$

$0.29\ (Approx)= \frac{400}{AB}$

$AB= \frac{400}{0.29}$

AB = 1379.31 meters

Therefore the 1379.31 meters  is the​ line-of-sight distance from the television camera to the base of the stadium​ .