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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

Sagot :

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:

[tex]\begin{gathered} x^2+x^2=14^2 \\ \\ 2x^2=14^2 \\ \\ x=\sqrt{\frac{14^2}{2}}=\sqrt{98} \\ \\ h=x=9.899ft \\ \\ \end{gathered}[/tex]

Therefore the ladder reaches 9.9ft up the wall.

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