Question

find the value of the variable. if your answer is not an interger, leave it in simplest radical form.

Answer 1

A

Explanation:

using the sine ratio in the right triangle, then

sin 45° =
`(opposite)/(hypotenuse)` =
`(x)/(5)`

multiply both sides by 5

note the exact value of sin 45° =
`(√(2) )/(2)`

x = 5 × sin 45° = 5 ×
`(√(2) )/(2)` =
`(5√(2) )/(2)`