What is the Height of the Washington Monument from a Distance of 1000 Feet?

[xyz_1965]

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?

 

[HOI]

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.

 

[xyz_1965]

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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