Question

For the triangle above, find sin A.

Answer 1

                  check picture below

Answer 2

0.385.

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)=(10)/(26)`

`\text{sin}(A)=(5)/(13)`

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

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