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a 12 foot ladder is resting against the side of a building. The bottom of the ladder is 3 ft from the building find the measure of the angle the ladder makes with the ground. Rodger answers to the nearest tenth of a degree

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a 12 foot ladder is resting against the side of a building. The bottom of the ladder is 3 ft from the building find the measure of the angle the ladder makes with the ground. Rodger answers to the nearest tenth of a degree ​

see the attached figure to better understand the problem

Let

x ----->the measure of the angle the ladder makes with the ground

so

cos(x)=3/12 -----> by adjacent side divided by the hypotenuse

using a calculator

x=75.5 degrees

answer is

75.5 degrees

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