Question

a building casts a shadow in the shape of a right triangle with a base 18 feet wide and a height of 20 feet. what is the total area of the shadow?
38 square feet
90 square feet
180 square feet
360 square feet

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Substitute the given values into the formula

Here, the base \(b = 18\) feet and the height \(h=20\) feet. So, \(A=\frac{1}{2}\times18\times20\).
First, calculate \(18\times20 = 360\). Then, \(\frac{1}{2}\times360=180\).

Answer:

C. 180 square feet