SOLUTION: A 14 foot ladder is leaning against a building. The base of the ladder is 4 feet from the building. How high is the top of the ladder from the ground? Round to a tenth.

Algebra ->  Trigonometry-basics -> SOLUTION: A 14 foot ladder is leaning against a building. The base of the ladder is 4 feet from the building. How high is the top of the ladder from the ground? Round to a tenth.      Log On


   

Question 974979: A 14 foot ladder is leaning against a building. The base of the ladder is 4 feet from the building. How high is the top of the ladder from the ground? Round to a tenth.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Use the pythagorean theoerem


a%5E2%2Bb%5E2=c%5E2


4%5E2%2Bb%5E2=14%5E2


16%2Bb%5E2=196


16%2Bb%5E2-16=196-16


b%5E2=180


sqrt%28b%5E2%29=sqrt%28180%29


b=sqrt%2836%2A5%29


b=sqrt%2836%29%2Asqrt%285%29


b=6%2Asqrt%285%29


b=13.416


b=13.4


The approximate answer is 13.4
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