Draw a figure and label the top of the antenna C.
The angles in triangle ABC are 43, 118, and 19 degrees.
Use the law of sines to calculate the length of AC.
The the height of the antenna is AC * sin 62°.
Madison C.
asked 04/09/20A man standing near a radio station antenna sees the angle of elevation to the top of the antenna is A = 62°. He then walks s = 110 feet further away and observes that the angle of elevation to the top of the antenna is B = 43° . Find the height of the antenna. (Hint: Find x first.)
Draw a figure and label the top of the antenna C.
The angles in triangle ABC are 43, 118, and 19 degrees.
Use the law of sines to calculate the length of AC.
The the height of the antenna is AC * sin 62°.
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