Trigonometry Question 3

Right triangle $\triangle{ABC}$ and its side lengths given in inches are shown below. What is $\sin{B}$ ?

\dfrac{a}{b}

\dfrac{a}{c}

\dfrac{b}{a}

\dfrac{b}{c}

\dfrac{c}{a}

Approach

Sine refers to the ratio of the opposite side to the hypotenuse.

\sin{B} = \boxed{\frac{b}{c}}