HELP PLS!! Find the value of x and the value of y.
A. x = 16, y = 9√2
B. X= 7, y = 16√2
C. x = 6√2, y=7√2
D. X= 7√3, y = 16

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° = , then

sin45° = = = ( cross- multiply )

y = 9

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

tan45° = = = 1

adj = 9

Then

x = 9 + 7 = 16