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Brian and Ashley are standing on a river bank at pointsA and B respectively. See the figure below. Ashley is 110 m from the house located across the river at point C. Suppose the angle A (angle BAC) is at 43°, and angle B (angle ABC) is at 72°. How far are Bryan and Ashley standing from one another. round your answer to the nearest 10th of a meter

Brian and Ashley are standing on a river bank at pointsA and B respectively See the figure below Ashley is 110 m from the house located across the river at poin class=

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Explanation

We are told to find how far Brian and Ashley are from each other

To do so, we will make use of the image

The third angle will be

[tex]180-43-72=65^0[/tex]

We will make use of the sine rule

[tex]\frac{sin65}{x}=\frac{sin43}{110}[/tex]

So we will cross multiply

[tex]\begin{gathered} x=\frac{110\times sin65}{sin43} \\ \\ x=146.18m \end{gathered}[/tex]

Therefore, Brian and Ashley are 146.2 meters from each other

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