Kyle bought a ticket to see his favorite basketball team playing at home. his seat is in the terrace section, about 198 feet from the center of the court. if the angle of depression to the court is 57 degrees, which of the following represents the height kyle is sitting?

The height at which Kyle is sitting is 166.04 feet from the ground

Step-by-step explanation:

Let the height of the Kyle's seat be h.

Distance from center to the seat of Kyle = 198 feet

Consider Figure ABC

Angle of depression = 57°

Angle = 57° (alternative interior angles )

The height at which Kyle is sitting is 166.04 feet from the ground

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.