Problema Solution

A 60-in. television has a 60 in. diagonal and a 37 in. width. What is the height of the 60-in. television?

Round your answer to the nearest integer.

This screen has a height of inches.

Answer provided by our tutors

let


h = the height of the tv, h>0


d = 60 in the diagonal


w = 37 in the width


using the Pythagorean Theorem we have:


h^2 + w^2 = d^2


h^2 = d^2 - w^2


h^2 = 60^2 - 37^2


by solving we find:


h = 47 in


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the screen has 47 inches in height.