4) A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time, and walk at the same speed along different legs of the triangle. If the area formed by the positions of the two people and their starting point is changing at 5 m2/s, then how fast are the people moving when they are 3 m from the right angle?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...
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4) A piece of land is shaped like a right triangle. Two people start at the right angle of the
triangle at the same time, and walk at the same speed along different legs of the triangle.
If the area formed by the positions of the two people and their starting point is changing
at 5 m2/s, then how fast are the people moving when they are 3 m from the right angle?
Transcribed Image Text:4) A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time, and walk at the same speed along different legs of the triangle. If the area formed by the positions of the two people and their starting point is changing at 5 m2/s, then how fast are the people moving when they are 3 m from the right angle?
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