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.

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To find the measure of the angle that the roof makes with the floor in an A-frame house, we can use basic trigonometry. Specifically, we can use the inverse tangent function (arctan).

The angle we need to find is the angle between the height of the A-frame house (the roof) and the width (the floor). In this case, the height of the house is given as 45 feet, and the width is given as 32 feet.

To calculate the angle, we can use the formula:

angle = arctan(height/width)

Substituting the values, we have:

angle = arctan(45/32)

Now, we can solve this using a calculator. Take note that the arctan function might use degrees or radians as the unit of measurement, so make sure to set your calculator to the correct mode.

Calculating arctan(45/32) gives us approximately 54.68 degrees.

Rounded to the nearest degree, the measure of the angle that the roof makes with the floor in the A-frame house is 55 degrees.