Question

9. 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

Using the right triangle ABC, you got sin(x/2) = 12/15

Answer 2

12/15 =0.8. Do I solve for x now?

Answer 3

for angle x, it's \(\sin x = \dfrac{12}{15}\)

Answer 4

After that you use the reverse function \(sin^{-1}(0.8)=\frac{x}{2}\)
Since \(sin^{-1}(0.8)=53.1°\)
x= 2 * 53.1 = 106.3