Asked by Anonymous
from a horizontal distance of 1.05km a plot observe that the angles of depression of the top and base of a control tower are 36 and 41 respectively. calculate the shortest distance between the pilot and the base of the control tower and calculate the highest of the control tower.
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Answered by
Anonymous
from a horizontal distance of 1.05km a plot observe that the angles of depression of the top and base of a control tower are 36 and 41 respectively. calculate the shortest distance between the pilot and the base of the control tower and calculate the highest of the control tower.
Answered by
oobleck
From a horizontal distance x, if the tower has height h and its top is y meters below the plane's height, we have
y/x = tan36°
y = x tan36° = 1050 tan36° = 763 m
(h+y)/x = tan41°
h = 1050 tan41° - 763 = 150 m
The distance z is
z^2 = 1050^2 + 913^2
y/x = tan36°
y = x tan36° = 1050 tan36° = 763 m
(h+y)/x = tan41°
h = 1050 tan41° - 763 = 150 m
The distance z is
z^2 = 1050^2 + 913^2
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