Question

A golfer is standing at the tee, looking up to the green on a hill. If the tee is 38 yards lower than the green and the angle of elevation is 15 degrees, find the distance from the tee to the hole.

Answer 1

146.82 yards is the distance from tee to hole.

Explanation:

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation,

To find: side AC.

Using trigonometric functions, we know that value of sine is:

`sin\theta=\frac{\text{Perpendicular}}{\text{Hypotenuse}}`

Here
`\theta=\angle BAC=15^\circ`

Perpendicular is side CB.

Hypotenuse is side AC.

`\text{sin}12^\circ=\frac{\text{CB}}{\text{AC}}`

`\implies\text{CB}=\frac{38}{\text{sin}15^\circ}`

`\implies\text{CB}=146.82`

Hence, 146.82 yards is the distance from tee to hole.