The hypotenuse of a right triangle has length 8 and one of the other edges has length 3. What is the sine of the angle opposite the edge of length 3?
(A) 3/p55 (B) 3/8 (C)p55/8 (D) 55/64 (E) None of the above.
2 answers
The answer is B. Reason being is that since the triangle is a right triangle that means that the angles are 45, 45, 90. Hypotenuse being 90. It tells you that one edge is 3, and in a 45, 45, 90 tringle the lengths of the sides are the same. Meaning that the other edge is also 3. Then you find the sine. The sine of anything is opposite over hypotenuse, so the answer would be 3/8.
The answer would be 3/8, but the angles are (approximately) 22,68,90