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Law of Sines:Law of Cosines:Examples: Examples: 30391109715500Law of Sines Practice:Law of Cosines Practice:Use the Law of Sines to find the values of x and y. Round to the nearest tenth.1.2. 3.4. Navigation: The Bermuda Triangle is a historically famous region of the Atlantic Ocean. The vertices of the triangle are formed by Miami, FL; Bermuda; and San Juan, Puerto Rico. The approximate dimensions of the Bermuda Triangle are shown in the figure at the right. Explain how you would find the distance from Bermuda to Miami. What is this distance to the nearest mile?Use the Law of Cosines to find the values of x and y. Round to the nearest tenth.5. 6. 7. 8. Baseball: After fielding a ground ball, a pitcher is located 110 feet from first base and 57 feet from home plate as shown in the figure at the right. To the nearest tenth, what is the measure of the angle with its vertex at the pitcher?Mixed Problems:9. For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find the value of x. Then find the value of x to the nearest tenth.10. For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find the value of x. Then find the value of x to the nearest tenth.11. To get from point A to point B you must avoid walking through a pond.? To avoid the pond, you must walk 34 meters south and 41 meters east.? To the?nearest?meter, how many meters would be saved if it were possible to walk through the pond??12. A portion of a city map is shown in the figure at the right. If you walk along Maple Street between 2nd Street and Elm Grove Lane, how far do you walk? Round your answer to the nearest tenth of a yard.13. In ?XYZ, m∠Y = 80, XY = 14, and XZ = 17. To the nearest tenth, what is m∠Z?14. Zipline: One side of a ravine is 14 ft long. The other side is 12 ft long. A 20 ft zipline runs from the top of one side of the ravine to the other. To the nearest tenth, at what angle do the sides of the ravine meet?15. You can use the formula Area =12bc sinA to find the area of the triangle shown at the right. Show how this formula becomes the more familiar formula for the area of a triangle if NABC is a right triangle and m∠A = 90?.16. Indirect Measurement: A hot-air balloon pilot sights the landing field from a height of 2000 ft. The angle of depression is 24. To the nearest foot, what is the ground distance from the hot-air balloon to the landing field?17. A walking path around the outside of a garden is shaped like a triangle. Two sides of the path that measure 32 ft and 39 ft form a 76° angle. If you walk around the entire path one time, how far have you walked? Write your answer to the nearest foot.18. An airplane took off from an airport and started flying toward its destination 210 miles due east. After flying 80 miles east, it encountered a storm and altered its course by turning left 22°. When it was past the storm, it turned right 30° and flew in a straight line until it reached its destination. How far was the plane from its destination when it made the 30° turn? Challenge Question (Required for Honors, Optional for Standard): Parallelogram QRST has a perimeter of 62 mm. To the nearest tenth, what is the length of TR? ................
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