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Alexandra needs to reshingle the roof. She leans the ladder against the wall of the house So that the top of the latter is 8 feet above the ground the bottom of the latter is 5 feet from the base of the wall. find the angle formed between the ladder and the house.

Respuesta :

tramserran

Answer:   32°

Step-by-step explanation:

The adjacent side to the unknown angle is 8.

The opposite side to the unknown angle is 5.

[tex]tan\ \theta =\dfrac{opposite}{adjacent}\\\\tan\ \theta=\dfrac{5}{8}\\\\tan^{-1}(tan\ \theta)=tan^{-1}\bigg(\dfrac{5}{8}\bigg)\\\\.\qquad \qquad \theta=tan^{-1}\bigg(\dfrac{5}{8}\bigg)\\\\.\qquad \qquad \theta=32[/tex]

aliciapronschinske

Answer:

The answer is B. 32

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