Question 889146: 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? How far from the wall is the base of the ladder? Round your answers to two decimal places, as needed. Make a program that will solve this problem.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! 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? How far from the wall is the base of the ladder? Round your answers to two decimal places, as needed.
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let x=how far up the wall does the ladder reach
let y=How far from the wall is the base of the ladder
Given problem can be represented by a 30˚-60˚ right triangle with ladder as the hypotenuse, x=vertical leg and y=horizontal leg.
..
y is opposite 30˚
so, y=1/2 length of ladder
1/2*6=3
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by the pythagorean theorem:
x=√(6^2-3^2)=√(36-9)=√27=3√2
how far up the wall does the ladder reach? 3 m
how far from the wall is the base of the ladder? √3/2 m
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