Answer:
D. x=7√3 , y=4√2
Step-by-step explanation:
Step 1: Lets assume an imaginary line from A to B to make the triangle ABC( (refer to the attached image).
AB = 4
BD = 3
Step 2: Find the value of y by the sin formula.
opposite = 4
adjacent = BC
hypotenuse = AC
sin (angle) = opposite/hypotenuse
sin (45) = 4/AC
√2/2 = 4/AC
AC = y = 4√2
Step 3: Find the value of x
Tan (45) = opposite/adjacent
1 = 4/CB
CB = 4
x = CB + BD
x = 4 + 3
x = 7
Therefore, the answer is D where x = 7 and y = 4√2
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