Question

If r = 24.9 and s = 18.9, find S. Round to the nearest tenth. S = 37.2° S = 38.2° S = 39.2° S = 36.2°

Answer 1

$\boxed{S=37.2^{\circ}}$

Explanation:

Below has been attached a diagram with the meaning of this problem. So we have a right triangle whose Opposite side (s) measures 18.9 and whose Adjacent side (r) measures 24.9. So, these two sides are related in the following form:

$tan(S)=\frac{Opposite \ side}{Adjacent \ side}=\frac{s}{r} \\ \\ tan(S)=\frac{18.9}{24.9} \\ \\ tan(S)=0.76 \\ \\ S=arctan(0.76) \\ \\ S=37.23^{\circ} \\ \\ Rounding \ off: \\ \\ \boxed{S=37.2^{\circ}}$

Learn more:

Angles in triangles: brainly.com/question/4400594

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