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13 Law of Sine and Cosine Word Problem Practice Quiz

13 Law of Sine and Cosine Word Problem Practice Quiz

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<strong>Law</strong> <strong>of</strong> <strong>Sine</strong> <strong>and</strong> <strong>Cosine</strong> <strong>Word</strong> <strong>Problem</strong>s <strong>Practice</strong> <strong>Quiz</strong>1. Two people looked up in the sky <strong>and</strong> saw superman flying. Person A sawSuperman at an angle <strong>of</strong> elevation <strong>of</strong> 65 o <strong>and</strong> person B saw Superman at an angle<strong>of</strong> elevation <strong>of</strong> 80 o . The two people are st<strong>and</strong>ing 30 feet from each othera) Compute the distance from each person to superman.b) Compute Superman’s height <strong>of</strong>f the ground.AB2. A boat is sailing due east parallel to the shoreline at a speed <strong>of</strong> 15 miles per hour.At a given time the, the bearing to a lighthouse is S 54 o E, <strong>and</strong> 2 hours later thebearing is S 36 o E. Find the distance from Boat Position 2 to the lighthouse.Boat Position 1 Boat Position 2Lighthouse


3. Two planes leave an airport at the same time. One plane is flying 400 m.p.h at abearing N 36 o E, <strong>and</strong> the other plane is flying at 600 m.p.h at a bearing <strong>of</strong> N 46 oW. How far apart are the planes after flying for 1.5 hours?Airplane 2Airplane 1Airport4. The Leaning Tower <strong>of</strong> Pisa Forms a 4 o angle with the vertical. The sun hits thetower forming a 100-foot shadow with an angle <strong>of</strong> elevation <strong>of</strong> 58.7 o from the end<strong>of</strong> the shadow. What is the height <strong>of</strong> the tower from the to ground?

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