Problema 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, 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 5ft above the ground. How tall is the taller tree?
Answer provided by our tutors
let h represent the height of the taller tree
make a good drawing and notice the similar triangles
(20 - 5) : 25 = (h - 5) : (125 + 25)
by solving we find
h = 95 ft
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the taller tree is 95 ft tall.