1. The process of triangulation uses triangles to determine locations (often of people or objects). Suppose there are tw

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1 The Process Of Triangulation Uses Triangles To Determine Locations Often Of People Or Objects Suppose There Are Tw 1 (186.04 KiB) Viewed 73 times

1. The process of triangulation uses triangles to determine locations (often of people or objects). Suppose there are two sensors, which are 3.46 miles apart on a street run- ning in the east-west direction-call the sensor furthest to the west Sensor A, and the other one Sensor B. You are sitting and using your cell phone at a location to the north of this street. Sensor A measures your bearing at 47.7, and Sensor B measures your bearing at 302.5°. How far are you sitting from Sensor A? Round to two deci- mal places. 2. Sometimes we want to find the distance between two points that cannot be reliably accessed by foot (for instance, in the thickest parts of the rainforest). Suppose there are two points, X and Y (where X is further to the west than Y). A plane flies overhead and takes measurements from Point P: the distance between X (on the ground) and P (in the air) is 960 meters, angle XPY measures 43°30', and angle PYX measures 95°30' Find the distance between X and Y to the nearest meter. 3. Oblique triangles can be used in navigation. A pilot flies her plane on a bearing of 35.0° from point X to point Y, which is a distance of 400 miles. She then turns and flies on a bearing of 145.0° to point Z, which is also 400 miles from the starting point X. What is the distance between points Y and Z to the nearest 10 miles ? 4. Three atoms with atomic radii of 2.0 units (for atom ), 3.0 units (for atom B), and 4-5 units (for atom A) are arranged as shown in the figure below. Find the distance be- tween the centers of atoms A and to the nearest tenth. 3.0 B 2.0 18°