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?
1 answer:
Answer:
41 degrees to the nearest degree.
Step-by-step 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.
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