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4 years ago

BRAINLIEST ! Please at least take a look.

Mathematics

2 answers:

ICE Princess25 [194]4 years ago

5 0

Answer:

391 ft

Step-by-step explanation:

Using similar figures

X/170 = 207/90

X = 170 × 207/90

X = 391 ft

Illusion [34]4 years ago

4 0

Answer:

Step-by-step explanation:

Tan Ф = opposite/adjacent = 170/90 = 1.89

Ф = tan⁻¹ 1.89 = 62.1°

tan Ф = x/207

tan 62.1° x 207 = x

1.89 x 207 = 391.23

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$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{5}{6}} ~\hfill \stackrel{reciprocal}{\cfrac{6}{5}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{6}{5}}}$

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$(\stackrel{x_1}{-8}~,~\stackrel{y_1}{9})\qquad\qquad \stackrel{slope}{m}\implies -\cfrac{6}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-8)})\implies y-9=-\cfrac{6}{5}(x+8) \\\\\\ y-9=-\cfrac{6}{5}x-\cfrac{48}{5}\implies y=-\cfrac{6}{5}x-\cfrac{48}{5}+9\implies y=-\cfrac{6}{5}x-\cfrac{3}{5}$

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