Question

Find the missing side. Round to the nearest tenth A) 21.3C) 9.2B) 9.5D) 11.5

Answer 1

We need to find the side that uses the adjacent and hypotenuse ratio. Using SOHCAHTOA:

Cosine is the ratio between adjacent and hypotenuse. Since x is adjacent to 49 and 14 is the hypotenuse, we can solve for x.

`\cos (49\degree)=(x)/(14)`

First, multiply both sides by 14.

`\begin{gathered} 14*\cos (49)=(x)/(14)*14 \\ 14\cos (49)=x \end{gathered}`

Next, we need to simplify the left side of our equation. We will do this using a calculator.

`14\cos (49)=9.18\approx9.2`

This leads to choice C, 9.2, being the correct answer.