Answer:
m∡S = 23.6 °
Step-by-step explanation:
We can see that this is a right angled triangle and therefore we can use trigonometric functions to determine an angle ∡S.
We know that:
                       [tex]\sin \angle S = \frac{opposite}{hypotenuse}[/tex]
Therefore:
                          [tex]\sin \angle S = \frac{2}{5}[/tex]
It yields:
                      [tex]\angle S = \sin^{-1} \frac{2}{5} =\sin^{-1}0.4[/tex]
Inserting that into the calculator we obtain m∡S = 23.6 degrees
