Question

Answer choice D.) is 12/13
Please help!!

Answer 1

Look at the picture.

`sine=(opposite)/(hypotenuse)\\\\\sin\angle L=(x)/(y)`

Use the Pythagorean theorem:

`x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\to x=√(25)\to x=5`

Again use the Pythagorean theorem:

`y^2=5^2+12^2\\\\y^2=25+144\\\\y^2=169\to y=√(169)\to y=13`

Calculate sine:

`\sin\angle L=(5)/(13)\to\boxed{B.}`