P4: Problem 9 PreviousProblem List Next (1 point) The path of a satelite orbitin
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P4: Problem 9 PreviousProblem List Next (1 point) The path of a satelite orbiting the earth causes it to pass directly over two tracking stations A and B, which are 48 miles apart When the sateline is on one side of the two stations, the angles of elevation at A and B are measured to be 87 degrees and 84 degrees, respectively see the graph Click on the graph to view a larger graph (a) How tar is the satelate from station A? Your answer is (b) How high is the satelaine above the ground? Your answer is Note: You can eam parbal credr on inis probiem Preview My Answers Submit Answers You have anempted this problem O times You have unlimted atempts remaining Emal instructor backspace 6 8Explanation / Answer
let height of the satellite = h
applying tan rule on 1st trinagle
tan 84 = h / 48 + x
h = (48+x) tan 84
applying tan rule on 2nd triangle
tan 87 = h / x
h = tan 87 * x
(48+x) tan 84 = tan 87 * x
48 tan 84 + x tan 84 = x tan 87
x = 48 tan 84 / ( tan 87 - tan 84 )
x = 47.737
h = tan 87 * 47.737
h = 910.877
a) satellite is 912.13 miles from station A
b) satellite is 910.88 miles above the ground
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