Question

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 in your final
answer




Do not answer if it's a "guess" :/

Answer 1

Do the math so just do 5ft time 40 after divide

Answer 2

x = 25 ft

Explanation:

here we see the student standing and creating a small triangle that is equivalent to the big triangle since it has the same angles, the only difference is that its smaller, so what we have to do is make a proportion of both triangles, so since 8 ft correspond with the 40 ft they're going to be in the same part of the proportion and the other measurements, including x, on the other part, so itll be 5/8 and x/40, see how the 8 and 40 are both on the bottom? thats because they correspond, so now all you have to do is cross butterfly, so you can set up an expression on 8x= 5*40 or you can just multiply 5*40 and then divide by 8, your answer will be x= 25 ft