Find the value of x and the value of y.

The answer is (D) ⇒ x = 15 and y = 5√3

Step-by-step explanation:

∵The triangle is right angle Δ

∵ measure of an angle is 60°

Use trigonometry functions to find x and y

∵ sin60° = x/10√3

∴ x = 10√3 × sin60° = 15

∴ x = 15

∵ cos60° = y/10√3

∴ y = 10√3 × cos60° = 5√3

∴ y = 5√3

The correct answer option is D. x = 15, y = 5

Step-by-step explanation:

We are given a right angled triangle with one known angle, 60°, and one known side, which is the hypotenuse and we are to find the remaining two side lengths.

Using sine to find x:

×

Using cos to find y:

×

×

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

the answer is 31.27mph