Question

What is the length of BC ? Round to the nearest tenth. 16 cm

Answer 1

Since Sin is equal to opposite over hypotenuse

so that's mean Sin(60°) = $\frac{x}{16}$

#I just rounddown from angle 65° to 60° as the number is not that much different.

and Sin(60°) is equal to $\frac{\sqrt{3} }{2}$

so we got Sin(60°) = $\frac{\sqrt{3} }{2}$ = $\frac{x}{16}$

x = $\frac{16\sqrt{3} }{2}$

x ≈ 14

then we can answer C)14.5

the answer D) is not correct for sure because the opposite cannot be longer than hypotenuse in the Right Triangle form.