Question

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

Answer 1

Step-by-step 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

`180-43-72=65^0`

We will make use of the sine rule

`(sin65)/(x)=(sin43)/(110)`

So we will cross multiply

`\begin{gathered} x=(110* sin65)/(sin43) \\ \\ x=146.18m \end{gathered}`

Therefore, Brian and Ashley are 146.2 meters from each other