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sawyerfauver
01.12.2021 •
Mathematics
Please help this is for my study guide thanks!
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Ответ:
the box has to travel 15. feet to move from point a to point c.
explanation
for finding the distance of traveling to move from point a to point c, we need to find the length of side ac in the triangle.
according to the diagram, in right angle triangle abc, side ab is the opposite and side ac is the hypotenuse in respect of ∠acb.
given that, ∠acb = 68° and ab = 14 feet
as,![sin(\theta)= \frac{opposite}{hypotenuse}](/tex.php?f=sin(\theta)= \frac{opposite}{hypotenuse})
so, in triangle
sin(∠acb) =![\frac{ab}{ac}](/tex.php?f=\frac{ab}{ac})
[tex]sin(68)= \frac{14}{ac}\\ \\ ac= \frac{14}{sin(68)}\\ \\ ac= 15./tex]
so, the box has to travel 15. feet to move from point a to point c.