A 24-foot ladder leans against a building. The foot
of the ladder is 7 ft from the building. Find the
measure of the angle which the ladder makes with
the level ground.

Here we use trigonometry to find the angle. The building and the ground form a perpendicular angle, with the ladder acting as the hypotenuse, we get a right angle. We know the length of adjacent leg from the angle, and the length of the hypotenuse. In this case, we use cosine since cos = adjacent length/hypotenuse length. So cos x= 7/24. To isolate x, we use the inverse function of cos, cos^-1. Then x= cos^-1 (7/24) or 73°.

A 24-foot ladder leans against a building. The foot of the ladder is 7 ft from the building. Find the measure of the angle which the ladder makes with the level ground.

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A 24-foot ladder leans against a building. The foot
of the ladder is 7 ft from the building. Find the
measure of the angle which the ladder makes with
the level ground.