What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = ft A scalene triangle M N P. Side N P is labeled as 15 feet. Side M P is labeled as x. Angle N is labeled as 61 degrees. Angle P is labeled as 38 degrees.
Accepted Solution
A:
Answer: 13.3 ftStep-by-step explanation:We are being asked to find an unknown side length in a triangle with two given angles and the side between them. The law of sines is applicable, but we need to know the angle opposite the given side.Angle M has a value that makes the sum of angles be 180°, so it is ... ∠M = 180° -61° -38° = 81°The law of sines tells you the length of side MP is ... MP = NP·sin(N)/sin(M) = (15 ft)·sin(61°)/sin(81°) x = MP ≈ 13.3 ft