You are lying 120ft away from a tree that is 50ft tall



You are lying 120ft away from a tree that is 50ft tall. You look up at the top of the tree. Approximately how far is you hear from the top of the tree in a straight line?

?

50

120

Consider a right angled triangle as shown in figure; and apply Pythagorean Theorem, According to the Pythagorean Theorem, in a right triangle the sum of the squares of the two sides is equal to the square of the hypotenuse.

So a2 + b2 = c2

The distance from you to the base of tree = 120 ft

Height of tree = 50 ft

Take 120 ft and 50 ft as two sides of a triangle

Therefore 1202 + 502 = c2

c2 = 16900

c = 130 feet

You are 130 feet from the top of the tree.

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