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1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How fast is the man' s shadow lengthening? ii) How fast is the tip of his shadow moving?

1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How fast is the man' s shadow lengthening? ii) How fast is the tip of his shadow moving?

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 42E: A goat is tethered to a barn by a 12-ft chain. If the chain is connected to the barn at a point 6 ft...
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provide a diagram find and show complete solution. This is application of derivatives

1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How fast is the man' s shadow lengthening? i) How fast is the tip of his shadow moving? 2. A rope is attached to a boat at water level, and a man on the dock is pulling on the rope at the rate of 50 ft/min. If his hands are 16 ft above the water level, how fast is the boat approaching the dock when the amount of rope out is 20 ft?
Transcribed Image Text:1. A light hangs 15ft above a horizontal path and a man 6ft tall is walking away at 5 ft/sec. i) How fast is the man' s shadow lengthening? i) How fast is the tip of his shadow moving? 2. A rope is attached to a boat at water level, and a man on the dock is pulling on the rope at the rate of 50 ft/min. If his hands are 16 ft above the water level, how fast is the boat approaching the dock when the amount of rope out is 20 ft?
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