1 / 9

Applications of Trigonometry to Navigation and Surveying

Applications of Trigonometry to Navigation and Surveying. Section 9-5 (day 2). Terminology:. Nautical mile : Unit of linear measure used in navigation About 15% longer than one mile Knot : Unit of speed used by ships and planes 1 knot = I nautical mile per hour 1 knot = 1.15077854 mph.

aretha-rios
Download Presentation

Applications of Trigonometry to Navigation and Surveying

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Applications of Trigonometry to Navigation and Surveying Section 9-5 (day 2)

  2. Terminology: • Nautical mile: • Unit of linear measure used in navigation • About 15% longer than one mile • Knot: • Unit of speed used by ships and planes • 1 knot = I nautical mile per hour • 1 knot = 1.15077854 mph

  3. Review: • Law of Cosines: (given SSS, SAS) a2 = b2 + c2 – 2bc cos A • Law of Sines: (given ASA, SAA, SSA) • SAS area formula:

  4. example 1: A ship proceeds on a course of 110 for two hours at a speed of 20 knots, then changes course to 220 for two more hours. How far is the ship from its starting point?

  5. example 2: A ship proceeds on a course of 300° for two hours at a speed of 15 knots, then changes course to 230°, continuing at 15 knots for three more hours. At that time, how far is the ship from its starting point?

  6. example 3: Tower T is 8 km northeast of village V. City C is 4 km from T on a bearing of 150° from T. What is the bearing and distance of C from V?

  7. example 4: A plane flies on a course of 100° at a speed of 1,000 km/hr. How far east of its starting point is it after 3 hours?

  8. example 5: Often a plot of land is taxed according to its area. Sketch the plot of land described, then find its area. From a granite post: • proceed 195 feet east along Tasker Hill Road, • then along a bearing of S32°E for 260 feet, • then along a bearing of S68°W for 385 feet, • finally along a line back to the granite post.

  9. Homework: Page 362 (w) #5 – 7 all 9 – 15 odd (show all diagrams and work)

More Related