# Geometry

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Marion is observing the launch of a space shuttle from the command center. When she first sees the shuttle, the angle of elevation to it is 16°. Later, the angle of elevation is 74°. If the command center is 1 mi from the launch pad, how far did the shuttle travel while Marion was watching? Round to the nearest tenth of a mile.

• Geometry -

let the lower height be h, the greater be H

h/1 = tan 16°
h = .2867 mi

H/1 = tan 74°
H = 3.4874

H-h = 3.2 mi

• Geometry -

3.774

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