Question 1190989
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Here's the diagram
<img src = "https://i.imgur.com/MZOejbv.png">
This diagram (and the other one as well) is not to scale.


If you want, it might be beneficial to split the triangles up like so
<img src = "https://i.imgur.com/74lChfm.png">
The goal is to find the value of y, i.e. the length of segment BD.


For now, focus on triangle ABC.
We need to find x
Use the tangent ratio
tan(angle) = opposite/adjacent
tan(C) = AB/BC
tan(56) = 10.5/x
x*tan(56) = 10.5
x = 10.5/tan(56)
x = 7.082339 which is approximate


Now move to triangle BCD. Use that x value and the tangent ratio to find y
tan(angle) = opposite/adjacent
tan(C) = BD/BC
tan(48) = y/x
y = x*tan(48)
y = 7.082339*tan(48)
y = 7.865734 this is also approximate


The last step is to round to the nearest tenth to get <font color=red>7.9 feet</font>
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