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p. 375 #26

p. 375 #26.

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p. 375 #26

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  1. p. 375 #26 Two weather observation stations are 7 miles apart. A weather balloon is located between the stations. From Station 1, the angle of elevation to the weather balloon is 33o. From Station 2, the angle of elevation to the balloon is 52o. Find the altitude of the balloon to the nearest tenth of a mile.

  2. 7-5 Enrichment Answers: 7-6 Enrichment Answers:

  3. 7-6 Law of Sines Can be used to find missing parts in any triangle, not just right triangles!

  4. Proof: Law of Sines

  5. Example 1A: Find d. Round to the nearest tenth. 8 29o 17o

  6. Example 1B: Find to the nearest degree in if n=7, l=9, and .

  7. Solving a triangle Example 2: Solve if , .Partner A: Find . Partner B: Find Partner B/C: Find k. Find the measures of all the angles and sides of a triangle

  8. Example 3: A civil engineer wants to determine the distances from points A and B to an inaccessible point C in a river. measures 67o and measures 52o. If points A and B are 82 feet apart, find the distance from C to each point. • Partner B/C: Draw a picture. • Partner B: Show what you are trying to find and explain a strategy. • Partner A: Solve the problem. Get group member’s okay.

  9. When can we use the Law of Sines to solve a triangle? CASE 1: You know the measures of two angles and any side of a triangle. (AAS or ASA) CASE 2: You know the measures of two sides and an angle opposite one of these sides of the triangle. (SSA)

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