A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per second. Find how fast the subtended angle (rad/s) of the lamppost from the person is increasing when the person is horizontally 1 foot from the lamppost. Assume the eye level of the person to be also 5 feet.
A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per second. Find how fast the subtended angle (rad/s) of the lamppost from the person is increasing when the person is horizontally 1 foot from the lamppost. Assume the eye level of the person to be also 5 feet.
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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A 5-foot-tall person is walking towards a 7-foot-tall lamppost at a uniform rate of 2 feet per second. Find how fast the subtended angle (rad/s) of the lamppost from the person is increasing when the person is horizontally 1 foot from the lamppost. Assume the eye level of the person to be also 5 feet.
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Step 1: Given information
VIEWStep 2: Expression for rate of change of angle 'theta'
VIEWStep 3: Value of rate of change of angle 'theta' , when x = 1 feet
VIEWStep 4: Expression for rate of change of 'alpha'
VIEWStep 5: Value of rate of change of angle 'alpha' , when x = 1 feet
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