These mathxl's are very hard! i understand the other parts its just this question that i dont understand.

x = 4

y = 6

Step-by-step explanation:

Given:

An angle is 45°

The length of the opposite side, hypotenuse and adjacent side of the right triangle is 4, y and x.

Find x, y.

Solution:

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

Now we substitute tan(45) = 1 in above equation.

x = 4

The adjacent side of the right triangle is 4.

Now, we use Pythagoras theorem for determine y value.

---------(1)

where c = hypotenuse of triangle.

a = Adjacent side

b = Opposite side

Now, we substitute value of adjacent side and opposite side in equation 1.

y = 6

Therefore, the value x = 4 and y = 6.

a

explanation: