4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 4.2 Proving and Applying the Sine and Cosine Laws for Obtuse Angles 1 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 An isosceles triangle has one angle that measures 1200 and one side length that is 5 cm. What could the other side lengths be? Draw a picture! 2 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 Does the sine law work for obtuse triangles? 3 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 Does the sine law work for obtuse triangles? 4 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 5 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 Example 1: In an obtuse triangle, angle B =230 and its opposite side,b, has a length of 40 cm. Side a is the longest side of the triangle, with a length of 65 cm. Determine the measure of angle A to the nearest degree. What is the length of side c? 6 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 Cathy & Mike observed a tethered balloon advertising the opening of a new fitness center. They were 250 m apart, joined by a line that passed directly below the balloon, and were on the same side of the balloon. Mike observed the balloon at an angle of elevation of 70 while Cathy observed the balloon at an angle of elevation of 820 Determine the height of the balloon to the nearest meter. How far is Mike from the balloon? 7 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 The roof of a house consists of two slanted sections, as shown. A roofing cap is being made to fit the crown of the roof, where the two slanted sections meet. Determine the measure of the angle needed for the roofing cap, to the nearest tenth of a degree. Find the angle of elevation for each roof section , to the nearest tenth of a degree. 8 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 Keep in Mind ... Caution! When using sine, you need to decide which angle to use - acute or obtuse When using cosine, the measures are always correct as the angle and its supplement are opposites, not equal 9 4.2 Proving and Applying SIne and Cosine Laws for Obtu.notebook January 09, 2017 Assignment: p 170 1-5, 6ab, 7 choose 3 from 9-12 choose either 13 or 14 10
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