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Name Period Date WORKSHEET - REAL WORLD TRIANGLE PROBLEMS 1. A surveying crew is given the job of measuring the height of a mountain. From a point on level ground they measure an angle of elevation to the top of 22. They move 507 meters closer and find the angle is now 36. How high is the mountain You may need to calculate some other numbers first. 2. Suppose that you are a pilot of a commercial airliner. You find it necessary to detour around a group of thundershowers. You turn at an angle of 21 to your original path fly for a while turn and intercept your original path at an angle of 35 70 km from where you left it. How much further did you have to go because of the detour 3. A geologist prospecting for oil finds a likely rock formation outcropping from the ground. The dip angle is 27. A If the oil well is located 5971 feet from the nearest edge of the outcropping how deep will the driller have to go to reach the formation B If the formation is 54 feet wide where it outcrops how much further must the driller go to get completely through it C If the geologist s measurements were off by 1 and the dip angle was really 28 how much deeper would the driller have to go to reach the top of the formation 4. A field has the shape of a quadrilateral that is not a rectangle. Three sides measure 50 60 and 70m and two angles measure 127 and132. A Find the length of the fourth side. B Find the measures of the other two angles. 5. The country of Parah has just launched two satellites. The government of Noya sends their most self-reliant astronaut Ivan Advantage aloft to observe the satellites. As Ivan approaches the two satellites satellite No*1 is visible to Ivan while the other satellite is near the opposite side of the Earth. He determines that angle A measures 38 angle B measures 113 and the distance between him and Satellite No*1 is 4362 km* Correct to the nearest kilometer how far apart are Ivan and Satellite No*2 Earth No* 2 Ivan A B No* 1 6. A line drawn from home plate to the fence in center field through second base would have a length of 380 ft. What is the distance from first base to that same point in center field See diagram from N6-5 ANSWERS 1. 461. 452 m 2. 8. 689 km 3. a 3042. 376 ft b 27. 514 ft deeper c 132. 461 ft deeper 4. a 137. 434 m b 43 and 58 5. They move 507 meters closer and find the angle is now 36. How high is the mountain You may need to calculate some other numbers first. 2. Suppose that you are a pilot of a commercial airliner. You find it necessary to detour around a group of thundershowers. 2. Suppose that you are a pilot of a commercial airliner. You find it necessary to detour around a group of thundershowers. You turn at an angle of 21 to your original path fly for a while turn and intercept your original path at an angle of 35 70 km from where you left it. You turn at an angle of 21 to your original path fly for a while turn and intercept your original path at an angle of 35 70 km from where you left it. How much further did you have to go because of the detour 3. A geologist prospecting for oil finds a likely rock formation outcropping from the ground..

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