A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jack grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 44 ft.) Round to the nearest tenth of a foot.
Answer: 45.8Step-by-step explanation:1. Find how far the bottom of the ladder is from the bottom of the house:(use Pythagorean theorem)(48)2 (50)2a2 + 2304 = 2500-2304 -2304a2= 196square root 196 = 14 ( ignore negative root, the length must be positive)___Then find how far the top of the ladder is from the ground once it is put in its new position:(20)2 (50)2a2 + 400 = 2500-400 -400a2 = 2100square root 2100a = 45.825756a ≈ 45.8 (round to the nearest tenth)