Question

A standard television has a width-to-height aspect ratio of 4:3. How many cm is the

diagonal of a standard television screen that is 49.8 cm tall?

Answer 1

Diagonal of television = 83 cm

Explanation:

Width of television = 4x

height of television = 3x

Height of television = 49.8 cm

`\therefore \: 3x = 49.8 \\ x = (49.8)/(3) \\ x = 16.6 \: cm \\ 4x = 4 * 16.6 = 66.4 \: cm \\ \\ diagonal \: of \: television \\ = \sqrt{ {(66.4)}^(2) + (49.8)^(2) } \\ = √( 4,408.96 + 2,480.04 ) \\ = √(6,889) \\ = 83 \: cm \\`