Asked by Mikaela
A person 6 feet tall walks at a rate of 150 feet per minute toward a light tower whose searchlight is located 40 feet above the ground. Find the rate that the length of the shadow is changing.
Answers
Answered by
Steve
Draw a diagram. If the man is x feet from the tower, and his shadow is s ft long, then using similar triangles,
s/6 = (x+s)/40
s = 3/17 x
ds/dt = 3/17 dx/dt
...
s/6 = (x+s)/40
s = 3/17 x
ds/dt = 3/17 dx/dt
...
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.