In searching for a boat lost at sea, a Coast Guard cutter leaves a port and travels 50.0 km due east. It then turns 65.0° north of east and travels another 50.0 km, and finally turns another 65.0° toward the west and travels another 50.0 km. What is its displacement from the port?

A drone operator has his drone take off and then start flying due north. The drone flies 45.3 meters when it collides with a flying bird. The impact makes the drone veer 24.5° east. It then flies another 22.6 meters before its emergency auto-landing program causes it to land. How far, d, and in what direction, e, must the operator walk to retrieve his drone?

Find mZNIJ if MLHIN = 80°, %3D M2NIJ = 2x + 9, and m/HIJ= 15x + 11. %3D H

A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours later travelling 20° West of South at 15 knots. Determine how long after the second ship leaves port that the ships will be 100 nautical miles apart.

You are standing at the top of a lighthouse, looking down towards a boat on the water. From your position in the lighthouse, you are 67.7 metres above ground. The boat is a horizontal distance of 74.7 metres from the lighthouse. Determine the measure of the angle of depression formed between you and the boat. State your answer as a numeric value only, rounded to the nearest tenth of a degree.

A manufacturing company produces steel housings for electrical equipment. The main component part is a steel trough that is made out of 14-gauge steel coil. Steel troughs are produced using a 250-ton progressive punch press that puts two 90° forms in the flat steel to make the trough. The distance from one side of the form to the other is critical for weatherproofing. The width of the trough is specified to be between 8.4 inches and 8.5 inches. n=49 (values below)   Width 8.312 8.343 8.317 8.383 8.348 8.410 8.351 8.373 8.481 8.422 8.476 8.382 8.484 8.403 8.414 8.419 8.385 8.465 8.498 8.447 8.436 8.413 8.489 8.414 8.481 8.415 8.479 8.429 8.458 8.462 8.460 8.444 8.429 8.460 8.412 8.420 8.410 8.405 8.323 8.420 8.396 8.447 8.405 8.439 8.411 8.427 8.420 8.498 8.409         Question a) For α=.05, is there sufficient sample evidence that the true mean width of the troughs is…

If the swing arm rotated the wiper blade 120 degrees, what is the area of the windshield that is swept by the wiper blade? Round your answer to the nearest tenth of a square centimeter