One sail on a sail boat is approximately shaped like a triangle. If the base length is feet and the total sail area is square feet, we can wonder how tall is the sail. Set up an equation to model the sail’s height.
Use h as the variable representing the sail’s height.
Since the sail’s shape is (approximately) a triangle, it helps to sketch a triangle representing the sail. Since we know its base width is feet, it is a good idea to label that in the sketch. The heigth is our unknown quantity, so we can use as a variable to represent the sail’s height in feet and label that too.
Since the total area is known to be square feet, this suggests using the area formula for a triangle:
With this formula, we can substitute in for and in for
and this equation models the height of the pool.