A surveyor needs to determine the distance across a lake. The surveyor selects two points A and B, on one side of the lake, and one point ,C, on the other side of the lake forming a triangle. the distanc3e between points A and B is 50 ft. Angle A measures 70 degrees, and angle B measures 65 degrees. A bridge will be built between points A and C.

How long will the bridge be, rounded to the nearest foot?

What is the exact solution for cos^2 x + 4cos x +4 = 4 on the interval [0,2pi]?

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