Question

Find the missing values in the triangle below

Answer 1

x = 22.6°

y = 12

Explanation:

✔️Find x using trigonometric ratio formula:

Reference angle = x

Opposite side to x = 5

Hypotenuse = 13

Thus:

`sin(x) = (5)/(13)`

`x = sin^(-1)((5)/(13))`

`x = 22.6 degrees` (nearest tenth)

✔️Find y using Pythagorean Theorem:

Thus:

y² = 13² - 5²

y² = 144

y = √144

y = 12