Question

Solve for X (Trigonometry)

Answer 1

7.0

Explanation:

When doing trigonometry, remember SOH-CAH-TOA...

Sine : Opposite/Hypotenuse

Cosine : Adjacent/Hypotenuse

Tangent : Opposite/Adjacent

In this figure, we are given the measure of a 23° angle, and two sides that are opposite of the angle, and the hypotenuse.

This means we need to use sine:

`sin(23)=(x)/(18)`

Multiply both sides by 18:

`18sin(23)=x`

`18(0.391)=x\\x=7.038\\x\approx7.0`