Question

For the triangle above, find sin A.

Answer 1

                  check picture below

Answer 2

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.

$\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

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,

$\text{sin}(A)=\frac{10}{26}$

$\text{sin}(A)=\frac{5}{13}$

$\text{sin}(A)=0.38461538\approx 0.385$

Therefore, the sin(A) for our given triangle is 0.385.