Answer:
Unsafe; angle with ground > 70°.
Step-by-step explanation:
Data:
a = 15 Â Â ft
b = 14.8 ft
A = 90°
Calculation:
We can use the Law of Sines.
[tex]\begin{array}{rcl}\dfrac{a}{\sin A } & = & \dfrac{b}{\sin B }\\\\\dfrac{15}{\sin 90^{\circ}} & = & \dfrac{14.8}{\sin B}\\\\\dfrac{15}{1} & = & \dfrac{14.8}{\sin B}\\\\15\sin B & = & 14.8\\\sin B & = & 0.9867\\B & = &\arcsin 0.9867\\& = & \boxed{\mathbf{80.63^{\circ}}}\\\end{array}[/tex]
The ladder will be unsafe because its angle with the ground is greater than 70°.
