You lean a 12 foot ladder against the wall. If the base is 2.5 feet from the wall, what angle does the ladder make with the ground?

77.975degrees

Step-by-step explanation:

Given the following;

Length of the ladder = 12foot (Hypotenuse)

Distance from the wall to the base of the ladder = 2.5feet (adjacent)

Using the SOH CAH TOA identity;

Cos theta = adjacent/Hypotenuse

Cos theta = 2.5/12

Cos theta = 0.2083

theta = arccos (0.2083)

theta = 77.975

Hence the angle that the ladder makes with the ground is 77.975degrees

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step-by-step explanation: