Question

2270 600 22. When measured from directly overhead, the distance from a satellite to the earch is 600 miles. To an observer on the horizon the distance is 2270 miles. Use this information to approximate the radius of the earth. (Drawing is not to scale.) Hint: Let x = the radius of the earth and apply Theorem 6.2.

Answer 1

solution BE2270 А lel radius of earth belo) mie *600 0B2 + : OB is perpendicular of to AB -> A In DABO 042 - 082 AB2 (8+600)2 = 72 + (2270) (8+60032-22 (22702 » (0+600+8)+600-8) =(2270)2 » (28+600) 699 = 2279 x 2270 20+600 = 51 529 8588.17 6 27- 8588:17 -600 7988.17 ::r = 7988.17 3994.085 mile 2 Thus, radies of earth is approximately 3994 miles.