Question

A blimp provides aerial television views of a football game. The

television camera sights the stadium at a 7 degree angle of depression. The altitude of
the blimp is 400 m. What is the line-of-sight distance from the television camera
to the case of the stadium? Round to the nearest hundred meters.

Answer 1

The line-of-sight distance from the television camera to the case of the stadium is approximately 3300 m.

Step-by-step explanation:

To find the line-of-sight distance from the television camera to the case of the stadium, we can use trigonometry. Let's consider a right-angled triangle where the angle of depression is 7 degrees and the altitude of the blimp is 400 m. The line-of-sight distance is the hypotenuse of the triangle.

Using the trigonometric function 'tan', we can calculate:

tan(7) = Opposite/Adjacent = 400/distance

distance = 400/tan(7)

distance ≈ 3267 m

Rounding to the nearest hundred meters, the line-of-sight distance from the television camera to the case of the stadium is 3300 m.

Answer 2

3300 meters

Step-by-step explanation:

We can find the distance d using trig functions

We know the opposite side and want to find the hypotenuse

sin 7 = 400/d

d = 400/ sin 7

d =3282.203619

Rounding to the nearest hundred meters

d = 3300 meters