1. A 38-ft ladder leans against a building so that the angle between the ground and the ladder is 73°. How high does the ladder reach up the side of the building? (Round your answer to four decimal places.)
2. Assuming that a 210-foot tall giant redwood grows vertically, if I walk a certain distance from the tree and measure the angle of elevation to the top of the tree to be 60°, how far from the base of the tree am I? (Round your answer to four decimal places.)
3. You just went for a run on a triangular path. You went North to start, then turned 90 degrees right to go East, then turned to head directly to the start. When you got to the second turn, you realized that you forgot to turn on your GPS watch. You started it and when you finished, that stretch of the run was 1.7692 miles long. Back at the start you use an app on your phone to estimate it is about a 47° angle between the starting path and the ending path. How much did you run in total? (Approximate your answer to 4 decimals places).
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