Please help 10 points

Question

asked Dec 25, 2021 36.0k views

1 Answer

Myungjin · Answer 1 · 2021-12-31T05:19:10+0000

Explanation:

We know that

$tan\theta =(altitude)/(base)$

Using this for the triangles

For the small triangle

$tan \theta =(6(1)/(2) )/(9)$

$\Leftrightarrow tan \theta =((13)/(2) )/(9)$

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

Again for the bigger triangle

$tan \theta =(h)/(31(1)/(2) )$

$\Leftrightarrow tan \theta =(h)/((63)/(2) )$

$\Leftrightarrow tan \theta =(2h)/(63)$

Therefore

(2h)/(63) =(13)/(18)

$\Leftrightarrow h=(13 * 63)/(18 * 2)$

$\Leftrightarrow h=(819)/(36)$

$\Leftrightarrow h = 22.75$ ft

Therefore h = 22.75 ft