Question

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?

Answer 1

41 degrees to the nearest degree.

Explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse where A is the angle of inclination.

cos A= 6 / 8 = 0.75

m < A = 41.41 degrees.