Greenwood press
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book-20600
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ANGLE Parking-space arrangements in parking lots. right-angled parking spaces obtuse-angled parking spaces Variables that affect the extra hori- zontal space, s, that is needed in a parking lot with angled spaces. An overhead view of a car making an obtuse-angled turn of α degrees into a parking spot that is angled θ degrees with the curb. Airplane pilots, military-orienteering specialists, and ship-navigation crews are responsible for using angles to move efficiently towards a destination. After accounting for wind and current speed, navigation teams will determine an angle to direct their course of movement. For example, suppose a ship is 3 miles from shore and is docking at a port that is 6 miles away, with minimal current affecting the path of the boat. The captain will request the boat to be moved 60° West of North, or 30° North of West. This direction is equivalent to the angle that is formed between the path of the boat and the northern or westward direction. The captain can also simply ask to move the boat 60°, because it is assumed that nav- igation direction is counterclockwise from the North position. Notice that the distances from the port are represented in a 30°– 60°– 90° tri- angle, which will not always happen. The angle of navigation, β, that will be East or West of North can be determined by finding arccos( s d ), where s is the distance from shore and d is the distance to the final destination. Notice that the naviga- tion angle will be negative, or East of North, if the destination is situated to the East of the ship’s location. Sailboats cannot steer directly into the wind, because they would be pushed backwards. In order to sail against the wind, sailors need to tilt their boat at an angle, ideally 45°, so that the wind catches the sail. If the boat pushes off course, it will need to change direction again so that it moves perpendicular to its path in the opposite direction. Sailors call this tacking. This action ensures that the boat continues to maintain a 45° angle with the wind. This zigzag pattern enables the boat to reach its finishing point while constantly sailing into the wind. Download 1.81 Mb. Do'stlaringiz bilan baham: |
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