Question

angle at peak of roof
The house shown below has a symmetrical roof. What is the measure of the angle the roof makes at the peak (angle x)?

Answer 1

PLEASE Help - I think I would use sin - opposite /hypotenuse. I believe opposite side is 12 and hypotenuse is 15,

Answer 2

\[\;\sin\;\frac{x}{2}=\frac{12}{15}=\frac{4}{5}
\\x=2\arcsin\left(\frac{4}{5}\right)\]