Question

A 14 foot ladder is leaning against a building. The ladder makes a 45 degree angle with the building. How far up the building does the ladder reach?A. 14,2 feetB. 7 feetc. 28/2 feetD. 7,2 feet

Answer 1

Answer: The problem can be visualized with the help of the following diagram:

Therefore the building height can be determined by using the pythagorean theorem, the steps are as follows:

`\begin{gathered} x^2+x^2=14^2 \\ \\ 2x^2=14^2 \\ \\ x=\sqrt{(14^2)/(2)}=√(98) \\ \\ h=x=9.899ft \\ \\ \end{gathered}`

Therefore the ladder reaches 9.9ft up the wall.