Question

Please help me on this

Answer 1

Answer: Option B.

Explanation:

You neeed to use the trigonometric identity:

`sin\alpha=(opposite)/(hypotenuse)`

As you need to find sin∠A, you can identify in the right triangle that:

`opposite=8\\hypotenuse=10\\\alpha=A`

Finally, substitute the angle, the lenght of the opposite side and the lenght of the hypotenuse into
`sin\alpha=(opposite)/(hypotenuse)` to find sin∠A. Then, you get:

`sinA=(8)/(10)`

Reducing the fraction:

`sinA=(4)/(5)`

This is the option B.