Question

The relative locations of Marilyn's house, Bobby's house, and Kimberly's house are shown in the figure.

Answer 1

Using sine rule :

$\dfrac{a}{sin A} = \dfrac{b}{sin B}$

$\dfrac{14}{sin(63)} = \dfrac{b}{sin(50)}$

$bsin(63) = 14sin(50)$

$b = \dfrac{14sin(50)}{sin(63) }$

$b = 12.04 \ mi \text{(nearest hundredth)}$

Answer: The distance is 12.04 miles