Question

HELP PLS!!

Answer 1

Answer:

A

Step-by-step explanation:

Completing the rectangle formed by legs 9 and 7 , gives us a right triangle on the left.

Using the sine ratio and the exact value sin45° = $\frac{1}{\sqrt{2} }$ , then

sin45° = $\frac{opposite}{hypotenuse}$ = $\frac{9}{y}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

y = 9$\sqrt{2}$

Using the tan ratio in the right triangle and the value tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{9}{adj}$ = 1

adj = 9

Then

x = 9 + 7 = 16

Answer 2

Answer:

A

Step-by-step explanation:

Thanks to the given angle, we can say that the triangle formed by tracing another height has two congruent legs

So

x = 9 + 7 = 16

y = √2 * 9^2 = 9√2