SOLUTION: To be safe, the ratio of the narrowest width of a scaffolding tower to its height should not be less than 3:7 a) What is the safe maximum height for a scaffolding tower of base 2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: To be safe, the ratio of the narrowest width of a scaffolding tower to its height should not be less than 3:7 a) What is the safe maximum height for a scaffolding tower of base 2      Log On


   

Question 1132170: To be safe, the ratio of the narrowest width of a scaffolding tower to its height should not be less than 3:7
a) What is the safe maximum height for a scaffolding tower of base 2m by 3m?
b) I want to reach a height of 14m. What should the minimum width of my scaffolding tower be?
Answer by MathLover1(20849) About Me  (Show Source):
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To be safe, the ratio of the narrowest width of a scaffolding tower to its height should not be less than 3%3A7
a) What is the safe maximum height for a scaffolding tower of base 2m by 3m?
given: w%3Ah=3%3A7

tower of base w=2m
2%3Ah=3%3A7+
3h=14
h=14%2F3
h=4.666666666666667
h%BB4.7m

b) I want to reach a height of 14m. What should the minimum width of my scaffolding tower be?
w%3Ah=3%3A7
if h=14
w%3A14=3%3A7
7w=3%2A14
w=3%2A14%2F7
w=3%2A2
w=6m