Question

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

Answer 1

Look at the picture.

$sine=\dfrac{opposite}{hypotenuse}\\\\\sin\angle L=\dfrac{x}{y}$

Use the Pythagorean theorem:

$x^2=3^2+4^2\\\\x^2=9+16\\\\x^2=25\to x=\sqrt{25}\to x=5$

Again use the Pythagorean theorem:

$y^2=5^2+12^2\\\\y^2=25+144\\\\y^2=169\to y=\sqrt{169}\to y=13$

Calculate sine:

$\sin\angle L=\dfrac{5}{13}\to\boxed{B.}$