right triangle apps - One measures direction clockwise from...

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MAC 1114: Applications of Solving Right Triangles We will be studying right triangle applications involving: 1) angles of elevation and depression 2) bearing angles An angle of elevation or depression measures how many degrees above or below horizontal an object lies, and satisfies 0 90 ° ≤ θ ≤ ° ° ≤ θ ≤ ° ° ≤ θ ≤ ° ° ≤ θ ≤ ° . 1. A spotlight atop a 20 ft. tall post is aimed at a sign across a 50 ft. wide street. If the sign is 60 feet above the ground, at what angle of elevation should the light be aimed? 2. The angle of depression from the top of a 100 ft. tall building to a car on the street below is 65 ° . How far from the building is the car parked? 3. A flagpole sits vertically atop the edge of a 65.0 foot tall building. From a point on the ground level with the base of the building, the angles of elevation to the bottom and top of the flagpole are 41.2 ° and 46.9 ° , respectively. How tall is the flagpole?
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Bearing angles measure direction.
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Unformatted text preview: One measures direction clockwise from due north, and the bearing angle θ satisfies 360 ° ≤ θ < ° . The other uses quadrant and deviation from due north or due south to measure direction, and these bearing angles are always acute. I: “due north” system 2. “quadrant” system 4. A plane leaves Gainesville and flies due west at 100 miles per hour for half an hour, then turns due south and flies at the same speed for another 45 minutes. At this point, what is the plane’s bearing from Gainesville? (due north system) 5. Thursday evening at midnight a hurricane was 400 miles due east of Brownsville, Texas, and was traveling 8 mph on a bearing of 295º. If the hurricane stays on this path at the same speed, at what time of what day would the hurricane be closest to Brownsville, and how far away would it be at that time?...
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