Answer:
opposite side = 8.27cm
adjacent = 12.5cm
Explanation:
to work out the other side of the triangle
give the angle = 32
using SOH CAH TOA
sineФ = opposite/ hypoteneus
sin32° = opposite/ 15cm
using cross multiplication
opposite side = sine32 x 15cm
opposite side = 0.551 x 15cm
opposite side = 8.27cm
to find the other side of the triangle using pythagoras theorem
hypotheneus ² = opposite² + adjacent²
15² = 8.27² + adjacent ²
collect the like terms
15² - 8.27² = adjacent ²
225 - 68.42 = adjacent²
156.58 = adjacent²
squaring both sides
adjacent = √ 156.58
adjacent = 12.5cm