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?

Explanation:

Step1: Recall the area formula for a triangle

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

Step2: Substitute the given values into the formula

Given that the base \(b = 18\) feet and the height \(h=20\) feet. Substitute these values into the formula: \(A=\frac{1}{2}\times18\times20\).
First, calculate \(18\times20 = 360\). Then, \(\frac{1}{2}\times360=180\).

Answer:

180 square feet