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Keith needs to build a bridge across a pond . he has been able to collect the following measurements. about how long his bridge need to be ?a) 11. 9 ftb) 8.4 ftc) 7. 7 ftd) 6.4 ft

Keith needs to build a bridge across a pond . he has been able to collect the following-example-1
User Ashley Miller
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1 Answer

14 votes
14 votes

In order to find the length of the bridge, we can use the tangent relation of the angle 50°.

The tangent relation is the length of the opposite side to the angle over the length of the adjacent side to the angle.

So we have that:


\begin{gathered} \tan (50\degree)=(x)/(10) \\ 1.1917=(x)/(10) \\ x=10\cdot1.1917 \\ x=11.917 \end{gathered}

So the length of the bridge is 11.9 ft, therefore the correct option is A.

User SuperAndrew
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2.8k points
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