Question

Find the missing values in the triangle below

Answer 1

Answer:

x = 22.6°

y = 12

Step-by-step explanation:

✔️Find x using trigonometric ratio formula:

Reference angle = x

Opposite side to x = 5

Hypotenuse = 13

Thus:

$sin(x) = \frac{5}{13}$

$x = sin^{-1}(\frac{5}{13})$

$x = 22.6 degrees$ (nearest tenth)

✔️Find y using Pythagorean Theorem:

Thus:

y² = 13² - 5²

y² = 144

y = √144

y = 12