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Pavel [41]
3 years ago
8

Find the slope of a line with points: ( -5 , -8 ) and ( 6 , -3 )

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0
(y2-y1)/(x2-x1)  (-3 - (-8))/(6- (-5))= 5/11
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Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

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As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}

So we have

\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}

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