Solve for x and y. 30-60-90 triangles

Step-by-step explanation:

From the given right-angle triangle

The angle = ∠60°

The hypotenuse = 6

Using the trigonometric ratio

cos 60° = adjacent / hypotenuse

substituting adjacent = x and hypotenuse = 6

cos 60° = x / 6

6 × cos 60° = x

x = 3

Thus, the value of x is:

And using the trigonometric ratio

sin 60° = opposite / hypotenuse

substituting opposite = y and hypotenuse = 6

                      ∵

Therefore, the value of y is:

Summary:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6