Question 821549
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triangle ABC abc:
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c = 300 ft
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A = 180 - 55 = 125 degrees
B = 36 degrees
C = 180 - 125 - 36 = 19
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use the law of sines to find the range from the second observer to the basket:
a/sinA = c/sinC
a/sin(125) = 300/sin(19)
a = sin(125)*300/sin(19)
a = range = 754.8208 ft
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use sine(B) to find the height of the basket:
sin = opp/hyp
sin(36) = height/range
height = sin(36)*range
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answer:
height = 444 ft
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