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16 votes
16 votes
Find the length of theside labeled x. Roundintermediate values tothe nearest tenth. Usethe rounded values tocalculate the next value.Round your final answerto the nearest tenth.2668°42°X

Find the length of theside labeled x. Roundintermediate values tothe nearest tenth-example-1
User Muthurathinam
by
3.0k points

1 Answer

19 votes
19 votes

Solution

Let the height of the triangle be h


\begin{gathered} tan68=(26)/(h) \\ h=(26)/(tan68) \\ h=10.504 \end{gathered}
\begin{gathered} tan42=(h)/(x) \\ tan42=(10.504)/(x) \\ x=(10.504)/(tan42) \\ x=11.667 \\ x=11.7\text{ \lparen nearest tenth\rparen} \end{gathered}

User FoldFence
by
2.9k points
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