SOLUTION: calculus-rate of change a) A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.1 m/s. The man

Algebra.Com
Question 914104: calculus-rate of change
a) A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.1 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing? (Give your answer correct to two decimal places.)

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A bright light on the ground illuminates a wall 12 meters away. A man walks from the light straight toward the building at a speed of 1.1 m/s. The man is 2 meters tall. When the man is 4 meters from the building, how fast is the length of his shadow on the building decreasing? (Give your answer correct to two decimal places.)
-----------------
Similar to the boat problem.
Get the length of the shadow in terms of his distance from the building, that's just geometry.
Differentiate wrt time, etc.
=============
email via the TY note if you need help.

RELATED QUESTIONS

A light is placed on the ground 30 ft. from a building. A man 6 ft. tall walks from the... (answered by KMST)
this is a problem on forming functions from verbal descriptions here it is... when a girl (answered by 303795)
A man 6 feet tall walks away from light 10 feet above the ground. If his shadow... (answered by Fombitz)
A light in a parking lot illuminates a circular area 15 meters across. What is the area... (answered by richwmiller)
A man is walking away from a lamppost with a light source 9 meters above the ground. The... (answered by nyc_function)
judith and marie are helping their friends change the light bulbs on a wall fixture. They (answered by Alan3354,TimothyLamb)
I have a solution of 3.1875 meters for this problem but it is in error. (I calculated... (answered by oscargut,stanbon,Earlsdon)
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)
A man is walking away from a lamppost with a light source 6 m above the ground. The man... (answered by robertb)