1. Cyrus, Ray and Billy visited the playground where their friends made a triangle out of string 9.5 m, 10.0 m, and 10.5 m long, and labelled the vertices X, Y, and Z. The boys were told that the triangle has angles of 55o, 60o and 65o, and they also challenged Cyrus to stand by the 55 degree angle, Ray by the 60 degree angle, and Billy by the 65 degree angle. Determine which vertex each boy should stand next to. 2. A group of rowdy teenagers near a wind turbine decide to place a pair of pink shorts on the tip of one blade. They notice that the shorts are at its maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at t = 25 s.

a) Determine the equation of the sinusoidal function that describes the height of the shorts in terms of time.

b) Determine the height of the shorts at exactly t = 10 minutes, to the nearest tenth of a metre.