Question

A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
51 degrees

53 degrees

37 degrees

39degrees

Answer 1

Answer:

I believe its 53 degrees

Step-by-step explanation:

The hight

Answer 2

Answer:

Angle of depression = 51° (to nearest degree)

Step-by-step explanation:

Using tan trig ratio (where x is the angle, O is the side opposite the angle and A is the side adjacent to the angle)

$tan(x)=\dfrac{O}{A}=\dfrac{9.3}{7.4}=\dfrac{93}{74}\\\\\implies x=\arctan\left(\dfrac{93}{74}\right)=51.49 \textdegree$

So angle of depression is 51.49° (to nearest hundredth)