Problema Solution
A 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 the sail. Find the height of the sail.
Answer provided by our tutors
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
, 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