Harry is building a house with a sloping roof. If the roof is 44 feet long and 10 feet high, what is the angle that the roof makes with the horizontal?

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Harry is building a house with a sloping roof. If the roof is 44 feet long and 10 feet high, what is the angle that the roof makes with the horizontal?

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Luanaid Luanaid · Answer 1

Luanaid Luanaid

[tex]Length\ and\ high\ make\ with\ horizontal\ rectangular\ triangle\\\\ Length \is \ hypotenuse\ \\\ high\ and\ horizontal\ are\ cathetuses.\\\\ \angle\ \alpha\ between\ length\ and\ horizontal=?\\ sin \alpha =\frac{10}{44}\\ sin \alpha \approx0,227\\ \alpha \approx\ arcsin0,227\approx\ 13^\circ [/tex]

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