Question

How do I solve this?

Answer 1

Start by drawing a figure.
Draw a rectangle that is wider than high.
Draw a diagonal.

Answer 2

Great.
Now we look at it as if the length really were 16 in. and the height 9 in.
Let's label it.

Answer 3

If the TV had width 16 in. and height 9 in., what would the diagonal be?

Answer 4

Are you familiar with the Pythagorean theorem?

Answer 5

Yes, \[16^2+9^2\]

Answer 6

256+81=337

Answer 7

Correct.
What is that equal to?

Answer 8

\[\sqrt{337}=18.35755\]

Answer 9

Great. Let's add that to our figure too.

Answer 10

Ok. A TV 16 in. by 9 in. has a diagonal 18.37 in.
Now you can do a proportion.
If a diagonal of 18.36 in. has a height of 9 in., a diagonal of 50 in. has a height of x.
Use a proportion to find x.

Answer 11

Alright,