Question

question 3 of 26
in the triangle below, what is the sine of 60°?
triangle: right triangle with 60° angle, 30° angle, legs 1 and √3, hypotenuse 2
a. 1
b. \\(\frac{\sqrt{3}}{2}\\)
c. 2
d. \\(\frac{1}{2}\\)

Explanation:

Step1: Recall sine definition

Sine of an angle in a right triangle is $\frac{\text{opposite side}}{\text{hypotenuse}}$.

Step2: Identify sides for 60°

For 60° angle, opposite side is $\sqrt{3}$, hypotenuse is 2.

Step3: Calculate $\sin(60^\circ)$

$\sin(60^\circ) = \frac{\sqrt{3}}{2}$.

Answer:

B. $\frac{\sqrt{3}}{2}$