Question
Robert leans a
foot ladder against a wall. If the ladder reaches 19.2 feet up the wall, what angle does
form with the wall? Round your answer to the nearest tenth of a degree.
form with the wall? Round your answer to the nearest tenth of a degree.
Ask by Murray Ray. in the United States
Jan 07,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The angle between the ladder and the wall is approximately 16.0 degrees.
Solution

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Mind Expander
To find the angle that the ladder forms with the wall, we can use the cosine function from trigonometry. Here, the adjacent side is the height the ladder reaches on the wall (19.2 feet), and the hypotenuse is the length of the ladder (20 feet). So, we can use the formula:
Calculating that gives us:
Now, we take the inverse cosine (arccos) to determine the angle:
So, the angle formed with the wall is approximately
degrees when rounded to the nearest tenth.
The answer is
.