Problem One Givens The length of the ladder is 13 feet. The distance from the foundation to a point where the ladder is safe to start from = 5 feet.
Find The height of the house
Formula a^2 + b^2 = c^2 a =5 b = house height c = 13
Sub and solve 5^2 + b^2 = 13^2 25 + b^2 = 169 subtract 25 from both sides. b^2 = 169 - 25 b^2 = 144 Take the square root of both sides. b =sqrt(144) b = 12
The house is 12 feet high. <<<<< answer
Problem Two Givens height of flagpole = 9 Distance to the hook = 12 feet Rope length = ??
Formula a^2 + b^2 = c^2
Sub and solve 9^2 + 12^2 = c^2 81 + 144 = c^2 c^2 = 225 Take the square root of both sides. sqrt(c^2) = sqrt(225) c= 15
Problem Three Givens T = 1 hour (not needed) c = 20 miles b = eastbound boat = 12 miles a = northbound boat = ????
Formula a^2 + b^2 = c^2
Sub and solve a^2 + 12^2 = 20^2 a^2 + 144 = 400 Subtract 144 from both sides. a^2 = 400 - 144 a^2 = 256 Take the square root of both sides. sqrt(a^2) = sqrt(256) a = 16 The northbound boat has gone 16 miles
