Answer:
The angle of elevation is 71.94 degrees.
Step-by-step explanation:
We are given the following in the question:
The front of an A-frame cottage has the shape of an isosceles triangle.
Height,h = 23 feet
Base,b = 15 feet
We have to find the angle of elevation of its roof.
The attached image shows the structure.
We use the relation,
[tex]\tan \theta = \dfrac{h}{\frac{b}{2}}\\\\\tan \theta = \dfrac{23}{7.5}\\\\\tan \theta = 3.067\\\theta = \tan^{-1}3.067 = 71.94^\circ[/tex]
Thus, the angle of elevation is 71.94 degrees.
