SOLUTION: A woodcutter determines the height of a tall tree by first measuring a smaller one 125 ft away, then moving so that his eyes are in the line of sight along the tops of the trees, a

Question 321309: A woodcutter determines the height of a tall tree by first measuring a smaller one 125 ft away, then moving so that his eyes are in the line of sight along the tops of the trees, and measuring how far he is standing from the small tree. Suppose the small tree is 20 ft tall, the man is 25 ft from the small tree, and his eye level is 5 ft above the ground. How tall is the taller tree?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the height (ABOVE EYE LEVEL) is proportional to the distance to the trees (similar triangles)

25 / (20-5) = (125+25) / (x-5)

"cross" multiplying ___ 25x - 125 = 2250 ___ 25x = 2375 ___ x = 95
RELATED QUESTIONS
A woodcutter determines a height of a tall tree by first measuring a smaller one 125 feet (answered by Alan3354)

1. A woodcutter determines a height of a tall tree by ﬁrst measuring a smaller one (answered by mananth)

1. A woodcutter determines a height of a tall tree by ﬁrst measuring a smaller one (answered by fractalier)

1. A woodcutter determines a height of a tall tree by ﬁrst measuring a smaller one (answered by mananth)

A lumberjack determines that the angle of inclination from point A to the top of a tree... (answered by ankor@dixie-net.com)

Daniel plans to remove a tree from his backyard. He needs to know the height of the... (answered by ewatrrr)

1.) A citrus grower estimates that if 60 orange trees are planted, the average yield per... (answered by KMST)

You are lying 120 ft. away from a tree that is 50 ft tall. You look up at the top pf the... (answered by bucky)

If a tree is 16 ft. tall and the tree next to it casts a shadow of 20 ft. , what is the... (answered by stanbon)