A man is standing near the Washington Monument. At a 60° angle of elevation from the ground, the man sees the top of the 555-foot monument. Which measurements are accurate based on the scenario? Check all that apply. The distance from the man's feet to the base of the monument is feet. The distance from the man's feet to the top of the monument is feet. The distance from the man's feet to the top of the monument is 1,110 feet. The distance from the man's feet to the base of the monument is 277.5 feet. The segment representing the monument's height is the longest segment in the triangle.

Question

Mathematics

Liana Gilmore

13 May, 08:34

A man is standing near the Washington Monument. At a 60° angle of elevation from the ground, the man sees the top of the 555-foot monument. Which measurements are accurate based on the scenario? Check all that apply. The distance from the man's feet to the base of the monument is feet. The distance from the man's feet to the top of the monument is feet. The distance from the man's feet to the top of the monument is 1,110 feet. The distance from the man's feet to the base of the monument is 277.5 feet. The segment representing the monument's height is the longest segment in the triangle.

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Answers (2)

Know the Answer?

Abraham Abbott · Answer 1

The height of the monument is 555 ft and the angle of elevation from the ground is 60°. If d is the distance from a man's feet to the base of the monument than:

tan 60° = 555 / d

√3 = 555 / d

d = 555 · √3 = 555 · 1.732 = 320.44 ft.

The distance from the man's feet to the top of the monument is:

320.44 ft · 2 = 640.88 88 ft.

Answer:

The distance from the man's feet to the base of the monument is 320.44 ft (just that is correct).

Baylee Chen · Answer 2

The correct answers are the first two options