Answer: 20 feet.
I hope this helps
Step-by-step explanation: 48 ft would be the measurement of the base of the right triangle formed by the flagpole and the ground. We are trying to find the height of the flagpole, which is the other leg of this right triangle.
The measurements we have for the second triangle are 5 and 12. Since she is 12 feet away from the mirror, the base of the triangle is 12. Her eye level is at 5 feet, so this is the height of the triangle.
Since we know these triangles are similar, we can use proportions to solve this. 48 is to 12 (base is to base) as the unknown height is to 5 (height is to height):
48/12 = x/5
Cross multiply:
48*5 = 12*x
240 = 12x
Divide both sides by 12:
240/12 = 12x/12
20 = x
The unknown height is 20 feet.