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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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.
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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