By using dimensional analysis we find the following two results:
a) 0.30 m = 0.984 ft
b) 150 km / h = 1.554 mi / h
<h3>How to use dimensional analysis</h3>
In this problem we must find a quantity of a given unit that is equivalent to another value of another unit of the same kind. For instance, we must look up for the quantity in a unit length equivalent to another quantity in another unit length. Now we proceed to obtain all the equivalencies by simple rule of three:
a) 0.30 m × (1 ft / 0.3048 m) = 0.984 ft
b) 150 km / h × (1 mi / 1.609 km) × (1 h / 60 min) = 1.554 mi / h
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Solution: Find the relationship among the 3 sides and solve for the unknown.
First side = x
second side = x + 3
third side = 3x - 10
x + x + 3 + 3x - 10 = 23
5x - 7 = 23
5x = 30
x = 6 <========== shortest side