Pre-Calculus Practice Problem 137

Pre-Calculus Practice Problem 137 - BAC = 82.0 o and BCA =...

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Unit 4, Activity 4, Real-Life Problems Involving Oblique Triangles with Answers Blackline Masters, Advanced Math-Pre-Calculus Page 135 Comprehensive Curriculum, Revised 2008 1. A twelve meter long loading ramp that makes a 25 o angle with the horizontal is to be replaced by a ramp whose angle of inclination is only 10 o . How long will the new ramp be? 29 meters 2. A pilot approaching a 3000 meter runway finds that the angles of depression of the ends of the runway are 14.00 o and 20.00 o . How far is the plane from the nearer end of the runway? 6943 meters 3. At a certain point, the angle of elevation of the top of a tower which stands on level ground is 30.0 o . At a point 100 meters nearer the tower, the angle of elevation is 58.0 o . How high is the tower? 90.3 feet 4. The Johnson’s plan to fence in their back lot shown below. If fencing costs $4.50 a foot, how much will it cost? 193.6 feet costing $871.20 5. To find the distance between two points A and B, on opposite sides of a swamp, a surveyor laid off a base line AC 25.0 meters long and found that
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Unformatted text preview: BAC = 82.0 o and BCA = 69.0 o . Find AB. 48.1 meters 6. A surveyor needs to find the area of a plot of land. The directions are as follows: From an iron post proceed 500 meters northeast to the edge of Bayou Cocodrie. Then move 300 meters east along the bayou to the fence surrounding Browns camp. Then continue 200 meters S15 o E to Wiggners Road. Finally, go along Wiggners road back to the iron post. Sketch the plot of land and find its area. 125,000 m 2 7. Trig-Star problem Distance AB = 86.48 Distance AD = 139.04 Distance AC = 155.16 Writing activity: How do you determine which technique to use in solving real-life problems involving oblique triangles? Possible answer: Set up the problem by drawing a diagram and filling in the values that are known then labeling what needs to be found. Determine whether we are given SSS, ASA, AAS, or SAS. Use the appropriate law to solve. 30.50 feet 128.0 o 50.25 feet....
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