Question

Puma Grove, the world's best female golfer, is two shots away from winning another tournament. Puma's caddy stands on a marker exactly 200200 meters from the pin and determines the angle between the pin and Puma's ball is 110^\circ110 ∘ . Standing close to her ball, Puma measures the angle between her caddy and the pin. After performing a calculation, she lines up her shot and swings. Her shot travels 234234 meters directly at the pin (exactly as planned) and lands perfectly next to the hole. What was the measure of the angle Puma saw between her caddy and the pin?

Answer 1

53 degrees

Explanation:

make sure to put just 53 and not the decimal or you'll get it wrong.

Answer 2

Measure of the angle is 53.47°

Explanation:

We are given that,

Distance of Puma and her caddy = 200 meters

Distance of caddy and the pin = 234 meters

The angle between pin and Puma's ball = 110°

It is required to find the angle between caddy and the pin

i.e. the value of 'x' in the figure is to be found.

So, we have the relation,

`(234)/(\sin 110)=(200)/(\sin x)`

i.e.
`\sin x=(200* \sin 110)/(234)`

i.e.
`\sin x=(200* 0.9397)/(234)`

i.e.
`\sin x=(187.94)/(234)`

i.e.
`\sin x=0.8032`

i.e.
`x=\arcsin 0.8032`

i.e. x = 53.47°

Thus, the measure of the angle between Puma's caddy and the pin is 53.47°.