[tex]\boxed{S=37.2^{\circ}}[/tex]
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:
[tex]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}}[/tex]
Learn more:
Angles in triangles: https://brainly.com/question/4400594
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