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Related Rates Shadow

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A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with speed of 4 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?

Posted by Ryan Burke 8 months ago

Related Problems

Let y=sin(x)y = \sin{(x)}

Find dydt\frac{dy}{dt} when x=π4x = \frac{\pi}{4} given dxdt=2cmsec\frac{dx}{dt} = 2 \frac{cm}{sec}

A 10 by 6 foot rectangular swimming pool is being filled. Find the rate at which the height of the water rises if the hose is pouring at 20ft3hour20 \frac{{ft}^3}{hour}

A boat is pulled in by means of a winch on a dock 12 ft above the deck of the boat. If the winch pulls in rope at the rate of 4 ft/sec, determine the speed of the boat when 13 feet of rope is out.

A man 6 ft tall is walking away from a streetlight 20ft high at a rate of 5ft/sec. At what rate is the tip of his shadow moving when he is 24 feet from the lightpost and at what rate is the length of his shadow increasing?