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Find the measure of each indicated angle to the nearest degree. a.)30 b.)56 C.)50 d.)34

Find The Measure Of Each Indicated Angle To The Nearest Degree A30 B56 C50 D34 class=

Sagot :

Step 1

Name the sides of the triangle.

Hypotenuse = 6, the side facing right angle

Opposite = ? side facing given angle

Adjacent = 5

Step 2

Apply the cosine angle formula to find the indicated angle.

[tex]\begin{gathered} Cos\theta\text{ = }\frac{adjacent}{\text{Hypotenuse}} \\ \cos \theta\text{ = }\frac{5}{6} \\ \cos \theta\text{ = 0.8333333333333333333333} \\ \theta\text{ = }\cos ^{-1}0.8333333333333333 \\ \theta=\text{ }33.55 \\ \theta=\text{ 34} \end{gathered}[/tex]

The measure of the indicated angle = 34

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