Question

A TV screen has a diagonal length of 156cm, the angle in the top corner is 37º. Calculate the height of

the TV screen?

37-90

37°

0

lo

156 cm

Answer 1

Please find the attachment.

We have been given that a TV screen has a diagonal length of 156 cm, the angle in the top corner is 37º. We are asked to find the height of the TV screen.

We can see that height of the TV screen will be opposite side to angle 37º and diagonal will be hypotenuse.

`\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}`

`\text{sin}(37^(\circ))=(h)/(156)`

`h=156\cdot \text{sin}(37^(\circ))`

`h=93.883143`

Upon rounding to nearest tenth, we will get:

`h\approx 93.9`

Therefore, the height of the TV screen is approximately 93.9 cm.