Applications and models 4-8

reminder Angle of elevation is from horizontal up Angle of depression is from horizontal down

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?

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.

Bearings Bearings are like giving directions Start with north or south Tell me how far to turn and in which direction

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.

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?

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!!!

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?

Homework Pg 327 20, 21, 26, 31, 37, 35, 38