Work out the missing side in the triangle - trigonometry

opposite side = 8.27cm

adjacent = 12.5cm

Step-by-step 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

the answer is d. (1.2, -4.7) on edgn

hope this !