The area of the cross section is equal to 90 ft²
Looking at the diagram we would see that the two dimensional solid that passed the point is a triangle.
The formula for area of a triangle
[tex]\frac{1}{2} bh[/tex]
Where b = bas
h = height
The radius of the cone = 6
The diameter of the cone = 2*radius
= 2*6
= 12
We have to put d = b = 12
When we put the values into the area of a triangle
= [tex]\frac{1}{2} 12*15\\\\= \frac{180}{2} \\\\= 90 ft^2[/tex]
The area of the cross section is therefore 90 ft²
Read more on the area of a triangle here:
https://brainly.com/question/89544
