Respuesta :
Answer:
triangle; area = 90 ft2
Step-by-step explanation:
THe type of two dimensional solid created by a vertical cross section of the cone that passes through the apex is a triangle, as you can see in the picture, if you draw a line that cuts the cone in half passing through the apex it would just be a triangle, and the area of the cross section is given by the formula:
[tex]a=\frac{b*h}{2}[/tex]
Since you have the radius of the base of the cone, you need the diameter to calculate the area, the diameter is given by the next formula:
[tex]D=2r[/tex]
[tex]D=2(6)[/tex]
[tex]D=12[/tex]
Now you just put your values into the formula of the triangle:
[tex]a=\frac{(12)(15)}{2}[/tex]
[tex]a=\frac{(180}{2}[/tex]
[tex]a=90[/tex]
So the area of the triangle formed is:
[tex]90ft^{2}[/tex]