Amanda G.
asked • 08/07/19Height of a Statue
A statue is mounted on top of a 42 foot hill. From the base of the hill to where you are standing is 73 feet and the statue subtends an angle of 10.3° to where you are standing. Find the height of the statue.
A. 8.5 feet
B. 28.7 feet
C. 24.3 feet
D. 19.7 feet
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3 Answers By Expert Tutors
Doug C. answered • 08/07/19
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Matthew D. answered • 08/07/19
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Stephen C.
FWIW, I used the tan(A+B) formula, to avoid doing an inverse tangent ... it's probably a little more work, but I suppose buys me a bit of theoretical precision ...
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08/08/19
Mark M. answered • 08/07/19
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Draw and label a diagram!
h represents the height of the statue
(h + 42) / 73 = tan 79.7° (10.3° as angle of depression)
(h + 42) / 73 = 5.50
h + 42 = 401.693
h = 359.693
(h + 42) / 73 = tan 10.3°
(h + 42) / 73 = 0.1817
h + 42 = 13.2663
h = -28.7446
Please check the data.
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Mark M.
I have worked with 10.3 as the angle of elevation and the angle of depression. Neither result in any of the choices. Please check the data.08/07/19