Question

Use SOH-CAH-TOA to find the missing side. Step by step.

Answer 1

`180.49`

Explanation:

SOH-CAH-TOA:

In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Since we're given an angle, its opposite side, and its adjacent side, we'll use tangent to solve for
`x`:

`\tan 14^(\circ)=(45)/(x),\\x=(45)/(\tan 14^(\circ)),\\x\approx \boxed{180.49}`.