William and Pam are ride operators for a travelling midway. In the next city, the roller coaster is to be set up inside a domed stadium 56 m high. To determine the height of the ride, William rides to the top. Pam stands 18 m from the bottom and looks up 77° to see William. a) At what angle of depression would William look down from the top to see Pam? b) Pam's eyes are 1.5 m above the ground. Is the roller coaster too tall for the stadium? Pam 1.5 m William A² 18.0 m

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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William and Pam are ride operators for a travelling midway. In
the next city, the roller coaster is to be set up inside a domed
stadium 56 m high.
To determine the height of the ride, William rides to the top.
Pam stands 18 m from the bottom and looks up 77° to see
William.
a) At what angle of depression would William look down from
the top to see Pam?
b) Pam's eyes are 1.5 m above the ground. Is the roller
coaster too tall for the stadium?
Pam
1.5 m
William
A²
18.0 m
Transcribed Image Text:William and Pam are ride operators for a travelling midway. In the next city, the roller coaster is to be set up inside a domed stadium 56 m high. To determine the height of the ride, William rides to the top. Pam stands 18 m from the bottom and looks up 77° to see William. a) At what angle of depression would William look down from the top to see Pam? b) Pam's eyes are 1.5 m above the ground. Is the roller coaster too tall for the stadium? Pam 1.5 m William A² 18.0 m
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