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Recommendations 2 Skill plans Math Level K > * HH.5 Trigonometric ratios: find an angle measure RSS You have priz Find mZS. Q 7 1 R 5 S Write your answer as an integer or as a decimal rounded to the nearest tenth. mZS = 0

Recommendations 2 Skill plans Math Level K > * HH.5 Trigonometric ratios: find-example-1

1 Answer

3 votes

Recall that in a right triangle:


\cos\theta=(AdjacentLeg)/(Hypotenuse).

Therefore, from the given diagram we get:


\cos S=(5)/(7).

Then:


S=\cos^(-1)(5)/(7)\approx44.42º.

Answer:


m\angle S=44.4º.

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