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valkas [14]
3 years ago
5

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 th

e nearest degree.

Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

Angle, \theta=70.4^{\circ}

Step-by-step explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let \theta is the angle that the roof makes with the floor. So,

\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.

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