Question

a ski slope is 1250 yards long with a vertical drop of 245 yards. Find the angle of depression from the top of the ski slope to the bottom.

Answer 1

Given:

The length of the ski slope is 1250 yards.

The length of the vertical drop is 245 yards.

The objective is to find the angle of depression from the top of the ski slope to the bottom.

The above situation can be represented as,

By the property of alternate interior angles between two parallel lines, the angle of depression from the top of the ski slope to the bottom is equal to angle of elevation from the bottom of the ski slope to the top.

Now, the required angle can be calculated by.

`\begin{gathered} \sin \theta=(opposite)/(hypotenuse) \\ \sin \theta=(245)/(1250) \\ \theta=\sin ^(-1)(245)/(1250) \\ \theta=11.303 \end{gathered}`

Hence, the angle of depression from the top of the ski slope to the bottom. is 11.303 degree.