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n a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer.

n a tournament a professional golfer knows that she is 200 yards from the hole A spectator is watching her play and is 140 yards away from the golfer class=

Respuesta :

We can use the sine rule to find the hole angle, and then find the golfer angle:

[tex]\frac{200}{\sin(115)}=\frac{140}{\sin (Hole)}[/tex][tex]\text{Hole Angle = }\sin ^{-1}(\frac{140\times\sin (115)}{200})[/tex][tex]\text{Hole Angle = }39.37664303\text{ degre}es[/tex]

Now we can find the golfer angle:

[tex]\text{Golfer = 180 - 115 - 39.38 }\cong25.6\text{ degre}es[/tex]

Answer: 25.6 degrees.