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Trigonometry in Navigation
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Flashcards
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Calculating distance using latitude and longitude.
Apply the Haversine formula to find the great-circle distance between two points on the Earth's surface.
Adjusting your heading due to wind influence.
Utilize vector addition and trigonometric functions to correct your course in the presence of crosswind.
Finding the course angle to steer from Point A to Point B.
Use the Law of Cosines or basic trigonometric relationships to calculate the course angle based on horizontal (longitude) and vertical (latitude) distance components.
Determining the cross-track error during navigation.
Employ trigonometric functions to calculate how far a vessel has deviated from its intended path.
Calculating the required bearing change at waypoint.
Determine the angle between your current path and the desired path at the waypoint using trigonometry.
Finding true north by calculating solar position.
Use trigonometric equations in celestial navigation to find the azimuth of the sun and deduce true north.
Estimating arrival time with known distance and speed.
Apply distance, speed, and time relationships alongside trigonometric calculations when account for course variations.
Determining the depth of water beneath the keel using sonar readings.
Implement trigonometry to correct sonar readings for beam angles when calculating the true depth of water.
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