SOLUTION: sailboat has a triangular sail with an area of 30 square feet. The height of the sail is 7 feet more than the length of the base of thesail. Find the height of the sail?

Question 451602: sailboat has a triangular sail with an area of 30 square feet. The height of the sail is 7 feet more than the length of the base of thesail. Find the height of the sail?
Answer by pedjajov(51) (Show Source): You can put this solution on YOUR website!
Area, A, of this sail is

where a is a base and h is height of the sail.

Since height is 7 feet more than the base it comes to

So area is now

, multiply to get rid of parentheses
, multiply both sides by 2
, subtract 60 from both sides
, this is quadratic equation

We get a=5 or a=-12 and only acceptable solution is a=5 feet.
Height of the seal is
h=a+7
h=5+7
h=12 feet

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