Stanely is 6ft tall. He wants to stand in the shade of a tree that is 35ft tall. If the tree casts a 10ft shadow, what is the farthest Stanely can stand from the tree and be completely in its shadow? Round your answer to nearest tenth of a roof?

3 answers

if he stands at distance d, his shadow will be 10-d, so

35/10 = 6/(10-d)
d = 58/7

8.3

8.28... OR APPROXIMATLY 8.3