Solving the Tightrope Walker's Shadow Problem

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The discussion centers on solving the Tightrope Walker's Shadow Problem, which involves calculating the speed of a shadow cast by a tightrope walker moving between two buildings. The tightrope is positioned 40 feet above the ground, with a spotlight located 80 feet above the starting point. The walker moves at a rate of 2 feet per second. The problem requires the application of related rates and similarity of triangles to determine the speed of the shadow on the ground and the wall of building B at specified positions.

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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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