SOLUTION: On a golf course, the distance from the tee T to the hole H is 300m. A golfer drives her ball from T to a point A where TA=260m and ∠ATH=6°, calculate the distance AH to the

Algebra ->  Length-and-distance -> SOLUTION: On a golf course, the distance from the tee T to the hole H is 300m. A golfer drives her ball from T to a point A where TA=260m and ∠ATH=6°, calculate the distance AH to the       Log On


   



Question 417900: On a golf course, the distance from the tee T to the hole H is 300m. A golfer drives her ball from T to a point A where TA=260m and ∠ATH=6°, calculate the distance AH to the nearest metre, and ∠THA to the nearest degree.
Answer by stanbon(75887) About Me  (Show Source):
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On a golf course, the distance from the tee T to the hole H is 300m. A golfer drives her ball from T to a point A where TA=260m and ∠ATH=6°, calculate the distance AH to the nearest metre, and ∠THA to the nearest degree.
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Draw the figure.
Use the Law of Cosines:
AH^2 = 300^2 + 260^2- 2*300*260cos(6)
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AH^2 = 90000 + 67600-156000*0.994522
AH^2 = 2454
AH = 49.54 meters
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angle THA = ?
Use the Law of Sines:
sin(THA)/260 = sin(6)/49.54
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sin(THA) = 260[0.1045/59.54) = 0.4564
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THA = sin^-1(0.4564) = 26.16 degrees
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Cheers,
Stan H.
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