Question

Instructions: Find the missing side. Round your answer to the nearest tenth. 48 73° х

Answer 1

14. 7

1) In this right triangle, let's find the missing leg, x using a trigonometric ratio.

2) Let's calculate x, by using the tangent of 73º

`\begin{gathered} \tan (73)\text{ =}\frac{\text{opposite to 73º angle}}{\text{adjacent leg to 73º angle}} \\ \tan (73)=(48)/(x) \\ x\tan (73)=48 \\ (x\tan(73))/(\tan(73))=(48)/(\tan (73)) \\ x=14.67\approx14.7 \end{gathered}`

3) Hence, the missing leg measure is 14. 7 (rounded off to the nearest tenth)