Question

What is the value of x?

Answer 1

Answer:

D

Step-by-step explanation:

Using the sine ratio or the cosine ratio in the right triangle.

Choosing the sine ratio with the exact value

sin45° = $\frac{\sqrt{2} }{2}$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{\sqrt{2} }{2}$ ( cross- multiply )

2x = 10$\sqrt{2}$ ( divide both sides by 2 )

x = 5$\sqrt{2}$ → D

Answer 2

Answer:

look at the picture I have sent