1 Answer

Shalin Patel · Answer 1 · 2021-09-19T15:54:27+0000

Answer:

The distance between the centers of the gears is 27.4 inches

Explanation:

see the attached figure with letters to better understand the problem

In the right triangle ABC

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

we have

$BC=CE-EB=9.3-2.4=6.9\ in$

$AB=DE=26.5\ in$

substitute

AC^2=26.5^2+6.9^2

$AC^2=749.86\\AC=27.4\ in$

therefore

The distance between the centers of the gears is 27.4 inches

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