Answer:
Explanation:
The mnemonic SOH CAH TOA reminds you ...
Sin = Opposite/Hypotenuse
Side DF is opposite the marked angle, and the hypotenuse is EF, so ...
sin(60°) = (√3)/2 = DF/(14√3) . . . . . to solve, multiply by the denominator
DF = (√3)/2·(14√3) = 7·3 = 21
__
Likewise,
Cos = Adjacent/Hypotenuse
Side DE is adjacent to the marked angle, so ...
cos(60°) = 1/2 = DE/(14√3) . . . . . to solve, multiply by the denominator
DE = (1/2)(14√3) = 7√3