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

Find the missing side. Round to the nearest tenth A) 21.3C) 9.2B) 9.5D) 11.5-example-1
User Gianebao
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1 Answer

3 votes

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.

User Thomasd
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