Question

Triangle MKL is similar to triangle MNO and NO=15, as shown. The sine of angle MKL=0.8. What is the length, in units, of side MO? A. 12. B. 18.75. C. 7.5. D. 10

Answer 1

Because triangles MKL and MNO are similar, the side opposite angle MKL (ML) corresponds to the side opposite angle MNO (MO), and the side adjacent to that angle which is the hypotenuse (KL) corresponds to NO. Thus

sin(MKL) = ML/KL = MO/NO.

So MO = NO * sin(MKL) = 15 * 0.8 = 12.

Answer: A.