1) irene places a mirror on the ground 24ft from base of an oak tree. she walks backward until she can see the top of the tree in the middle of the mirror. at that point, irene’s eyes are 5.5 above the ground, and her feet are 4 ft from the mirror. how tall is the oak tree?

Oak tree is 33 ft tall.

Step-by-step explanation:

We know that Irene places a mirror on the ground and walks backwards such that the mirror is in between her and the oak tree (as shown in the attached picture).

Given the distance of Irene's eyes from ground, distance between oak tree and mirror and distance between mirror and Irene, we are to find the height of the tree.

For this, we will use the ratio method:

T = 33 ft

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3