   Chapter 5.2, Problem 37E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Henry watches his 32 inch diagonal LCD television while sitting on the couch 7 feet away. When he purchases a TV for a room where he will be watching from a distance of 11 feet, what size TV should he purchase? ( H I N T : U s e D 1 V 1 = D 2 V 2 . )

To determine

To calculate:

The size of the TV which he purchased.

Explanation

Given:

Henry watches his 32 inch diagonal LCD television while sitting on the couch 7 feet away. When he purchases a TV for a room where he will watching from distance of 11 feet.

Definition Used:

For television viewers, there is an ideal relationship between the size of the flat panel television and the distance at which the viewer watches it where D is the diagonal measure of the television set and V is the distance to the viewer, we express this relationship by the proportion D1V1=D2V2, where the ratio between DandV equal the constant of proportionality k, D=kV.

Calculation:

The diagonal measure of the television set D1 is 32inch.

The distance to the viewer V1 is 7 feet.

Let us assume that D2 be the size of another TV for a room.

The distance to the viewer V2 is 11 feet

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