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 grou
nd?
1 answer:
Answer:
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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