an A-frame house is 45 feet high and 32 feet wide. find the measure of the angle that the roof makes with the floor. Round to the nearest degree.
907
To find the measure of the angle that the roof makes with the floor in an A-frame house, we can use trigonometry. Let's label the height of the A-frame house as the opposite side of the angle, the width as the adjacent side, and the angle as θ.
We can use the tangent function to calculate the angle:
tan(θ) = opposite/adjacent
In this case, the opposite side is the height (45 feet) and the adjacent side is the width (32 feet).
tan(θ) = 45/32
Now, to find the angle θ, we can use the inverse tangent (arctan) function:
θ = arctan(45/32)
Using a calculator, we can find:
θ ≈ 53.13 degrees
Rounding to the nearest degree, the angle that the roof makes with the floor in the A-frame house is approximately 53 degrees.
Just like before, try
tanØ = 45/16
etc ....
(where did I get the 16 from ? )