A biologist standing at the bottom of an 80-foot vertical cliff watches a peregrine falcon dive from
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A biologist standing at the bottom of an 80-foot vertical cliff watches a peregrine falcon dive from the top of the cliff at a 45° angle from the horizontal (see figure).
a. Express the angle of elevation θ from the biologist to the falcon as a function of the height h of the bird above the ground. The vertical distance between the top of the cliff and the falcon is 80 - h.)
b. What is the rate of change of θ with respect to the bird's height when it is 60 feet above the ground?
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Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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