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Phantasy [73]
3 years ago
6

Please help 10 points

Mathematics
1 answer:
RoseWind [281]3 years ago
3 0
<h3>Therefore h = 22.75 ft</h3>

Step-by-step explanation:

We know that

tan\theta =\frac{altitude}{base}

Using this for the triangles

For the small triangle

tan \theta =\frac{6\frac{1}{2} }{9}

\Leftrightarrow tan \theta =\frac{\frac{13}{2} }{9}

\Leftrightarrow tan \theta =\frac{13} {18}

Again for the bigger triangle

tan \theta =\frac{h}{31\frac{1}{2} }

\Leftrightarrow tan \theta =\frac{h}{\frac{63}{2} }

\Leftrightarrow tan \theta =\frac{2h}{63}

Therefore

\frac{2h}{63} =\frac{13}{18}

\Leftrightarrow h=\frac{13 \times 63}{18 \times 2}

\Leftrightarrow h=\frac{819}{36}

\Leftrightarrow h = 22.75 ft

Therefore h = 22.75 ft

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