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A six meter long ladder leans against a building. If the ladder makes an angle of 60° with the ground. How far up the wall does the ladder r
Question
A six meter long ladder leans against a building. If the ladder makes an angle of 60° with the ground. How far up the wall does the ladder reach? (Round to the nearest tenth)
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Mathematics
5 years
2021-08-27T19:45:04+00:00
2021-08-27T19:45:04+00:00 1 Answers
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Step-by-step explanation:
step 1. This is a 30-60-90 triangle where the side opposite the 30° is the smallest and represented as x, the side opposite the 60 ° is the middle length at x(sqrt(3)) and the side opposite the 90° is the longest side at 2x. note: sqrt is the square root.
step 2. The ladder is 6m and is the 2x side.
step 3. The wall is across from the 60° side and is the x side.
step 4. if the 2x side is 6m then the x side is 3m.
step 5. The ladder is 3m up the side of the house.