Igor who is 4 ft 8 in tall, wishes to find the height an oak tree in front of his castle. he walks along the shadow of the tree until the end of his shadow exactly overlaps the end of the treetops shadows. at that point, he is 22 ft from the foot of the tree and 11 ft from the end of the shadows. how tall is the oak tree?

i am not sure :

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb