Answer:
Sin A = 0.38462
Step-by-step explanation:
From the trigonometric function,
Sin A = [tex]\frac{Opposite}{Hypotenuse}[/tex] ................... 1
So that, applying the Pythagoras theorem to determine the value of hypotenuse,
[tex]/Hyp/^{2}[/tex] = [tex]/Opp/^{2}[/tex] + [tex]/Adj/^{2}[/tex]
= [tex]24^{2}[/tex] + [tex]10^{2}[/tex]
= 576 + 100
[tex]/Hyp/^{2}[/tex] = 676
Hyp = [tex]\sqrt{676}[/tex]
= 26
The hypotenuse of the triangle is 26.
Thus, from equation 1;
Sin A = [tex]\frac{10}{26}[/tex]
Sin A = 0.38462
