Question

Suppose you have a 42 inch TV that is 57 centimeters tall by 96 CM wide. You want to upgrade to the 60inch version of that TV. The height and width are 42in and 60 in. If you know the width of the 60 inch TV is 137 cm what is the height?

Answer 1

Answer:

The height is 67 cm

Step-by-step explanation:

Remember that

$1\ in=2.54\ cm$

we know that

The size of a TV is measured by its diagonal

Convert 60 inches to centimeters

$60\ in=60(2.54)=152.4\ cm$

Applying the Pythagorean Theorem

$D^2=H^2+W^2$

where

D is the diagonal

H is the height

W is the width

we have

$D=152.4\ cm\\W=137\ cm$

substitute

$152.4^2=H^2+137^2$

solve for H

$H^2=152.4^2-137^2\\H^2=4,456.76\\H=67\ cm$