Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.

Respuesta :

Answer:

62 degrees.

Step-by-step explanation:

What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.

But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)

ArctanФ = Adj/opposite

ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.