#### Answer

x = 6.6ft

#### Work Step by Step

As we know the sum of all the angles of a triangle are 180°
65°+70°+α = 180°
α=180° - (65° +70°)
α=180° -135°
α=45°
Using theorem 11.4.2
Law of sines:
$\frac{sine 45°}{5 ft}$ = $\frac{sine 70°}{x}$
x = $\frac{sine 70°}{sine 45°}$ *5
x = 6.6ft