SOLUTION: A man 6 feet tall walks away from light 10 feet above the ground. If his shadow lengthens at a rate of 2 feet per second, how fast is he walking? Please give details Thank y

Algebra.Com
Question 991365: A man 6 feet tall walks away from light 10 feet above the ground. If his shadow lengthens at a rate of 2 feet per second, how fast is he walking?

Please give details
Thank you

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Start with a right triangle.
Form similar triangles with height 10 and height 6.
The horizontal distance from the light to the man is .
The horizontal distance from the man to the tip of the shadow is .
So then,








RELATED QUESTIONS

A light is mounted on the side of a building, 60 feet above the ground. A six-foot-tall... (answered by edjones)
A 6-ft tall man walks away from a 3*6-ft tall streetlight at 4 ft/sec. How fast is his... (answered by Alan3354)
A light is placed on the ground 30 ft. from a building. A man 6 ft. tall walks from the... (answered by KMST)
A man is walking away from a lamppost with a light source 6 m above the ground. The man... (answered by robertb)
A man 5 ft tall walks at a rate of 4 ft/sec directly away from a street light that is 20... (answered by Alan3354)
calculus-rate of change a) A bright light on the ground illuminates a wall 12 meters... (answered by Alan3354)
You are standing 15 feet away from a streetlight, casting a shadow that reaches to a... (answered by fractalier)
Good day! Can you please help me with this one? Jasmin is 5 feet tall and is standing (answered by lynnlo)
A 6 - foot man is standing 17 feet from the base of a street light and casts a 4 - foot... (answered by TimothyLamb)