A blimp is providing aerial television views of a football game. The television camera sights the stadium at a 7 degree angle of depression. The blimp's altitude is 400 m. What is the line-of-sight distance from the TV camera to the stadium? Round your answer to the nearest meter.

Question

Mathematics

Shania

14 May, 19:55

A blimp is providing aerial television views of a football game. The television camera sights the stadium at a 7 degree angle of depression. The blimp's altitude is 400 m. What is the line-of-sight distance from the TV camera to the stadium? Round your answer to the nearest meter.

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Tasha · Answer 1

The line of sight is the hypotenuse of a right triangle with short leg 400 m, 90 degree angle where the short leg meets the ground, an 83 degree angle at the top, and a 7 degree angle across from the right angle on the ground. Because this 7 degree angle is an alternate interior angle with the angle of depression, they are the same degree measure. Looking for the hypotenuse, we use the sin ratio: sin (7) = 400/x.