Answer
120 m
Work Step by Step
∠ BAC = 180 - 51 - 77 = 52$^{\circ}$
Using cosine rule:
$cos(52^{\circ})=\frac{62^{2}+x^{2}-95^{2}}{2(62)(x)}$
0.61566 = $\frac{x^{2}-5181}{124x}$
76$x$ = $x^{2}$ - 5181
$x^{2}$ - 76$x$ - 5181 = 0
Using quadratic equation:
$x = \frac{-(-76)±\sqrt ((-76)^{2}=4(1)(-5181))}{2(1)}$
$x\approx 120$ m since $x\gt0$
