Question

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

Answer 1

x = 10
`√(3)`, y = 10

Explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° =
`(√(3) )/(2)` , cos60° =
`(1)/(2)` , then

sin60° =
`(opposite)/(hypotenuse)` =
`(x)/(20)` =
`(√(3) )/(2)` ( cross- multiply )

2x = 20
`√(3)` ( divide both sides by 2 )

x = 10
`√(3)`

and

cos60° =
`(adjacent)/(hypotenuse)` =
`(y)/(20)` =
`(1)/(2)` ( cross- multiply )

2y = 20 ( divide both sides by 2 )

y = 10