Answered

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Instructions: Find the missing side. Round your answer to the nearest tenth. х 38° 30 X =

Sagot :

Let us call the third angle in the triangle y

y = 180 - 90-38 = 52 degrees ( sum of angles in a triangle is 180 degrees)

using trigonometric ratio

[tex]\sin \text{ 52=}\frac{\text{opposite}}{\text{hypothenuse}}[/tex]

opposite = x

hypothenuse = 30

[tex]\begin{gathered} \sin 52\text{ =}\frac{x}{30} \\ x=\text{ 23.64032261} \end{gathered}[/tex]

To the nearest tenth x = 23.6

View image MavisL349997
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