Question

A person on top of a 44-meter water tower sees a car below. If the angle of depression between the top of the watertower to the car below is 30°, how far, in meters, is the person from the car? Solve for x in the diagram below.

Answer 1

As shown :

X represents a hypotenuse of the right triangle

The angle between the hypotenuse and the ground = 30

The opposite side of the angle 30 = 44

so,

`\begin{gathered} \sin 30=\frac{opposite}{\text{hypotenuse}}=(44)/(x) \\ \\ x=(44)/(\sin30)=(44)/(0.5)=88 \end{gathered}`

So, the person will be 88 meters far from the car