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 .
[tex]sin\theta = \frac{Perpendicular}{Hypotenuse}[/tex]
As the figure is given below .
Perpendicular = AC = 400 m
Hypotenuse = AB
[tex]\theta = 17^{\circ}[/tex]
Putting all the values in the identity .
[tex]sin17^{\circ} = \frac{400}{AB}[/tex]
[tex]0.29\ (Approx)= \frac{400}{AB}[/tex]
[tex]AB= \frac{400}{0.29}[/tex]
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 .
