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Height of Washington Monument

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xyz_1965

Member
Jul 26, 2020
81
From a point level with and 1000 feet away from the base of the Washington Monument, the angle of elevation to the top of the monument is 29.05°. Determine the height of the monument to the nearest half foot.

Here is the set up.

Let M = height of monument to the nearest half foot.

tan (29.05°) = M/1000

Yes?
 

Country Boy

Well-known member
MHB Math Helper
Jan 30, 2018
426
Yes, tangent is "opposite side divided by near side". You have a right triangle in which one angle, at your eye, is 29.05 degree. The "near side" is the distance from you to the base of the monument and the "opposite side" is the Washington Monument itself.
 
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xyz_1965

Member
Jul 26, 2020
81
Yes, tangent is "opposite side divided by near side". You have a right triangle in which one angle, at your eye, is 29.05 degree. The "near side" is the distance from you to the base of the monument and the "opposite side" is the Washington Monument itself.
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