Question

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

Answer 1

Recall that in a right triangle:

$\cos\theta=\frac{AdjacentLeg}{Hypotenuse}.$

Therefore, from the given diagram we get:

$\cos S=\frac{5}{7}.$

Then:

$S=\cos^{-1}\frac{5}{7}\approx44.42º.$

Answer:

$m\angle S=44.4º.$