Question

Find each missing side or angle. Round all answers to the nearest tenth
x=
y=

Answer 1

x ≈ 62.7° , y ≈ 12.4

Explanation:

Using the sine ratio in the right triangle.

sin x =
`(opposite)/(hypotenuse)` =
`(24)/(27)` , then

x =
`sin^(-1)` (
`(24)/(27)` ) ≈ 62.7° ( to the nearest tenth )

------------------------------------------------------------------

Using Pythagoras' identity in the right triangle

y² + 24² = 27²

y² + 576 = 729 ( subtract 576 from both sides )

y² = 153 ( take square root of both sides )

y =
`√(153)` ≈ 12.4 ( to the nearest tenth )