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Applications and models
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reminder Angle of elevation is from horizontal up Angle of depression is from horizontal down
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Example A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 degrees. A fire departments longest ladder is 110 ft. What is the maximum safe rescue height?
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Example At a point 200 ft from the base of a building
the angle of elevation to the bottom of a smoke stack is 35 degrees. The angle of elevation to the top of the smoke stack is 53 degrees. Find the height of the smoke stack.
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Bearings Bearings are like giving directions Start with north or south
Tell me how far to turn and in which direction
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Example A ship leaves port at noon and heads due west at 20 knots (20 nautical miles) per hour. At 2 PM the ship changes course to N 54° W. Find the ships bearing and distance from the port of departure at 3 PM.
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Example A ship travels 60 miles South and 33 miles East. The captain would like to travel directly back to port. What bearing should be taken?
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bearings An alternate way to give a bearing is just to give a degree measure. The rotation is CLOCKWISE from north. This is the opposite of what we usually do!!!
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Example An airplane leaves an airport with a bearing of 225°. It is travelling 135 mph. How far South and West is the plane in relation to the airport after 3 hours?
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Homework Pg , 21, 26, 31, 37, 35, 38
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