18. Use the Law of Sines to find the angle measures of a (5, 12, 13) right trian

Question

18. Use the Law of Sines to find the angle measures of a (5, 12, 13) right triangle. Round your angle measurements to the nearest tenth of a degree, if necessary. 13 12 19. A very tall television mast is supported by guy wires. The wires support the mast at heights of 800 feet, 1100 feet, 1500 feet, and 2000 feet, and converge to a point on the ground 400 feet from the base of the tower. Calculate the angle each guy wire forms with the ground to the nearest tenth of a degree. 800 feet 1 100 feet 2000 1500 1500 feet 1100 2000 feet 800 400 400 (over) 69 1083

Explanation / Answer

Angle E = 90 deg ( Right angle)

Now use sine rule to find angle D and F

13/sin90 = 12/sinF

sinF =12/13

F = 67.38 = 67.4 deg

13/sin90 = 5/sinD

sinD = 5/13 = 0.3846

D = 22.62 = 22. 6 deg

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