The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point A. What is the height of the tree? Show all your work, and make sure to include units.

26ft if i think i might be wrong

Tan(A) = 5/7 =0.714......

5/7 = Height of tree / 28

Height of tree =5/7 x 28 = 20 feet.

Another approach here without resorting to Trig is to just use similar triangles.

We have that

BC / CA = EF / FA

x / 28 = 5 / 7 multiplt both sides by 28

x = (28/7) * 5 = 4 * 5 = 20 ft