For this right triangle shown, what is the sine of angle C?A) 157B) 158C) 177D) 178

Accepted Solution

Answer:B ( MARK ME AS THE BRAINLIEST)Step-by-step explanation:To find the length of leg AB, the Pythagorean Theorem should be used. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse. For this reason, a2 + 72 = 82, or a2 + 49 = 64, where a is the length of leg AB. If 49 is subtracted from both sides of the equation, and if the square root is then taken of both sides, a is found to be 15. Also, the sine of an angle equals the length of the leg opposite the angle divided by the length of hypotenuse, or  length of opposite leg length of hypotenuse . Therefore, since the length of the hypotenuse is 8 and the length of the leg opposite angle C is   15 , the sine of angle C is   15 8