A ladder is leaning against a wall, forming a 60-degree angle with the ground. If the ladder is 20 feet long, the distance from the base of the ladder to the wall isfeet.
Answer & Analysis
Analysis
Question Analysis
This problem applies the cosine function to a real-world scenario involving a ladder and a wall.
Key Concept Explanation
The cosine of an angle in a right triangle is the ratio of the length of the adjacent side to the length of the hypotenuse. This is expressed as . In this case, the ladder is the hypotenuse, and the distance from the base of the ladder to the wall is the adjacent side.
Step-by-step Solution
1. Given: angle = 60 degrees, hypotenuse = 20 feet
2. Use the cosine of 60 degrees:
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