A 5.8-foot-tall engineer restructures a beam bridge that connects to the top of a cliff. The engineer stands 100 feet away at the bottom of the cliff. The angle of elevation to the top of the cliff measures 43°. When the engineer looks at the top of the bridge, the angle of elevation measures 48°. Match each measurement to the equation that describes it. Assume the height of the engineer approximates his eye level. 1. distance between engineer's eyes and top of the bridge y = 100 tan 45° + 5.8 100 2. distance between engineer's eyes and top of the cliff y = cos 48° 100 3. height of the bridge y = cos 43° 4. height of the cliff y = 100 tan 48° + 100 tan 43°

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.6: Symmetry And Transformations
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A 5.8-foot-tall engineer restructures a beam bridge that connects to the top of a cliff. The engineer
stands 100 feet away at the bottom of the cliff. The angle of elevation to the top of the cliff measures 43°.
When the engineer looks at the top of the bridge, the angle of elevation measures 48°. Match each
measurement to the equation that describes it. Assume the height of the engineer approximates his eye
level.
1. distance between engineer's eyes and top of the bridge
100 tan 45° + 5.8
100
2. distance between engineer's eyes and top of the cliff
y =
Cos 48°
100
3. height of the bridge
Y =
cos 43°
4. height of the cliff
y = 100 tan 48° + 100 tan 43°
Transcribed Image Text:A 5.8-foot-tall engineer restructures a beam bridge that connects to the top of a cliff. The engineer stands 100 feet away at the bottom of the cliff. The angle of elevation to the top of the cliff measures 43°. When the engineer looks at the top of the bridge, the angle of elevation measures 48°. Match each measurement to the equation that describes it. Assume the height of the engineer approximates his eye level. 1. distance between engineer's eyes and top of the bridge 100 tan 45° + 5.8 100 2. distance between engineer's eyes and top of the cliff y = Cos 48° 100 3. height of the bridge Y = cos 43° 4. height of the cliff y = 100 tan 48° + 100 tan 43°
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