Question

A 10 foot ladder is leaning against a tree the bottom of the ladder is 6 ft away from the bottom of the tree proximately how high up the tree does the top of the ladder reach

A: 4 feet

B: 6 feet

C: 8 feet

D: 16 feet

Answer 1

Looking at the picture it is just a triangle with a hypotenuse of 10 (the ladder) and the bottom side of 6 (distance from the ladder to tree). All you have to do now is the Pythagorean theorem: a^2 + b^2 = c^2

10^2 - 6^2 = b^2

100 - 36 = b^2

64 = B^2 now square root both sides.

Answer is C. 8 feet