16. A hot-air balloon has risen to an altitude of 280 m. You can still see the starting point at an 18° angle of depression. To the nearest meter, how far is the balloon from the starting point?
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tan(18) = 280 / x
x * tan(18) = 280
x = 280 / tan(18)
x =~ 862
x * tan(18) = 280
x = 280 / tan(18)
x =~ 862
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Use trigonometry:
tan = leg opp/leg adj
tan 18 = 280/leg adj
leg adj = 280/tan 18
leg adj = 280/.3249
leg adj = 861.8 m
tan = leg opp/leg adj
tan 18 = 280/leg adj
leg adj = 280/tan 18
leg adj = 280/.3249
leg adj = 861.8 m