Tony who is 6 ft tall is looking at a mirror on the ground 12 feet in front of him and he can see the top of the flagpole. He knows the distance from the mirror to the flagpole is 18 ft and that the 2 triangles are similar. Determine the height of the flagpole.

9 ft

Step-by-step explanation:

12/18 = 6/x

solve for x, x = 9

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5