Question

question: in a right triangle with sides 3, 4, and 5, what is the sine of the angle opposite the side of length 3? (3 points) a) 0.6 b) 0.8 c) 0.5 d) 0.4

Explanation:

Step1: Recall sine - definition

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$.

Step2: Identify opposite and hypotenuse

The side opposite the angle is 3 and the hypotenuse is 5 (the longest side in a right - triangle).

Step3: Calculate sine value

$\sin\theta=\frac{3}{5}=0.6$.

Answer:

A. 0.6