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
To find the line-of-sight distance from the television camera to the base of the stadium, we can use trigonometry.
Given:
Altitude of the blimp (opposite side) = 400 meters
Angle of depression = 7°
We can use the tangent function:
tan(7°) = opposite / adjacent
tan(7°) = 400 / x
Solving for x (the distance from the camera to the base of the stadium):
x = 400 / tan(7°)
x ≈ 3271.69 meters
Therefore, the line-of-sight distance from the television camera to the base of the stadium is approximately 3272 meters.