Question

in right - triangle abc with right - angle at c, angle a = 65°, hypotenuse ab = 16 cm, and side bc = x. options: 6.8 cm, 7.5 cm, 14.5 cm, 17.7 cm

Explanation:

Step1: Use sine function

$\sin(A)=\frac{BC}{AB}$, where $A = 65^{\circ}$, $AB=16$ cm and $BC = x$.
So $\sin(65^{\circ})=\frac{x}{16}$.

Step2: Solve for $x$

$x = 16\times\sin(65^{\circ})\approx16\times0.9063 = 14.5$ cm

Answer:

14.5 cm