Question

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

Answer 1

Answer:

A

Step-by-step explanation:

using the sine ratio in the right triangle, then

sin 45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{5}$

multiply both sides by 5

note the exact value of sin 45° = $\frac{\sqrt{2} }{2}$

x = 5 × sin 45° = 5 × $\frac{\sqrt{2} }{2}$ = $\frac{5\sqrt{2} }{2}$