Question

Find sine, where is the angle shown.
Give an exact value, not a decimal approximation.

Answer 1

`\sin( \theta) = (opp)/(hyp) \\ {c}^(2) = {a}^(2) + {b}^(2) \\ {c}^(2) = {8}^(2) + {15}^(2) \\ = 64 + 225 = 289 \\ c = √(289) \\ c = 17 \\ \sin( \theta) = (15)/(17) = 0.882 \\ \theta = { \sin}^( - 1) (0.882) \\ \theta = 66.88 \degree\approx 67\degree`