Question

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.

Answer 1

The answer is B. 32

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Answer 2

Answer: 32°

Explanation:

The adjacent side to the unknown angle is 8.

The opposite side to the unknown angle is 5.

`tan\ \theta =(opposite)/(adjacent)\\\\tan\ \theta=(5)/(8)\\\\tan^(-1)(tan\ \theta)=tan^(-1)\bigg((5)/(8)\bigg)\\\\.\qquad \qquad \theta=tan^(-1)\bigg((5)/(8)\bigg)\\\\.\qquad \qquad \theta=32`