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 mak

es with the horizontal?

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

$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
$

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