MHB Solving the Tightrope Walker's Shadow Problem

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The discussion revolves around a physics problem involving a tightrope walker and the movement of their shadow. The tightrope walker is 40 feet above ground, moving at 2 feet per second between two buildings that are 60 feet apart. The problem requires determining the speed of the shadow on the ground when the walker is midway and on the wall of building B when the walker is 12 feet away from it. Participants suggest using the similarity of triangles to express the shadow's movement mathematically. The focus is on applying related rates to solve the problem effectively.
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Im stuck on this question! so can someone please please help me? Thank you!

A tightrope is 40 ft above ground between two buildings that are 60 feet apart. A
tightrope walker starts along the rope and walks from building A to building B at
a rate of 2 feet per second. 80 feet above the starting point of the tightrope walker
on building A is a spotlight that is illuminating the tightrope walker as the tightrope
walker is crossing between the two buildings.

(a) How fast is the shadow of the tightrope walker's feet moving along the ground
when the tightrope walker is midway between the buildings?

(b) How fast is the shadow of the tightrope walker's feet moving up the wall of building
B when the tightrope walker is twelve feet away from building B?
 
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Re: related rates 2

a) The first thing I would do is draw a diagram:

View attachment 1622

Can you use similarity of triangles to express $s$ as a function of $x$?
 

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