Question

Find the missing side lengths. Leave your answers as radicals in simplest form

Answer 1

x = 2;

y = √3

Explanation:

Use trigonometry:

`\tan(60°) = (y)/(1)`

Cross-multiply to find y:

`y = 1 * \tan(60°) = 1 * √(3) = √(3)`

Use the Pythagorean theorem to find x:

`{x}^(2) = {y}^(2) + {1}^(2)`

`{x}^(2) = ( { √(3)) }^(2) + {1}^(2) = 3 + 1 = 4`

`x > 0`

`x = √(4) = 2`