Question

NEED HELP Find the exact values of x and y.

Answer 1

Explanation:

imagine the triangle is rotated and twisted so that the vertex with the 60° angle is the bottom left vertex and therefore the center of the trigonometric circle around the triangle.

so, y is the radius of that circle.

4 = sin(60)×y

x = cos(60)×y

sin(60) = sqrt(3)/2

cos(60) = 1/2

y = 4/sin(60) = 4 / sqrt(3)/2 = 8/sqrt(3)

x = cos(60)× 8/sqrt(3) = 1/2 × 8/sqrt(3) = 4/sqrt(3)