Answer:
0.385.
Step-by-step explanation:
We have been given right triangle ABC. We are asked to find sin(A) for our given triangle.
We know that sin relates opposite side of a right triangle to the hypotenuse.
[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
We can see that opposite side to angle A is side CB and hypotenuse is AB. Upon substituting our given values in above formula we will get,
[tex]\text{sin}(A)=\frac{10}{26}[/tex]
[tex]\text{sin}(A)=\frac{5}{13}[/tex]
[tex]\text{sin}(A)=0.38461538\approx 0.385[/tex]
Therefore, the sin(A) for our given triangle is 0.385.
