Question

The front of an A-frame cottage has the shape of an isosceles triangle. It stands 23 feet high and is 15 feet wide at its base. What is the angle of elevation of its roof

Answer 1

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,

$\tan \theta = \dfrac{h}{\frac{b}{2}}\\\\\tan \theta = \dfrac{23}{7.5}\\\\\tan \theta = 3.067\\\theta = \tan^{-1}3.067 = 71.94^\circ$

Thus, the angle of elevation is 71.94 degrees.