Remember! The formula for Area of a Triangle is:
A = (1/2)bh
Where b is the length of the base, and h is the length of the height.
We were given b, the base is 15 inches. And the area is 110 square inches.
So we can plug those into the equation:
110in^2 = (15in * X)/2
Multiply both sides by 2.
110in^2 * 2 = (15in * X)/2 * 2
Simplify!:
220in^2 = 15in * X
Divide both sides by 15in.
220in^2 / 15in = (15in * X) / 15in
220/15 = 14.66...
So we're left with the in^2 and in canceling out to leave:
14.66in = X
So our height is:
14.66in
So, it will be the answer choice d.