A surveyor in a canyon takes measurements and draws the diagram shown. Determine the length of a bridge that would stretch across the canyon to 1 decimal
place.

Step-by-step explanation:

We know two sides and the angle between the sides, so we can use the Law of Cosines. Recall that the Law of Cosines states that:

, where a and b are the sides and C is the angle in between.

Let's substitute 115 for a, 178 for b, and 41 for Angle C.

Thus:

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