Complements are defined for angles, not trigonometric ratios of angles.
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The rise is calculated as the horizontal run distance times the tangent of the angle (tan angle = rise/run). Since tan 1 degree is 0.0175 the rise is 100 x .0175 = 1.75 feet
It can be shown that:height = (d tan α tan β)/(tan α - tan β)where: α is the angle closest to the objectβ is the angle further away from the objectd is the distance from the point of angle α to the point of angle βThus: height = (40 ft × tan 50° × tan 30°)/(tan 50° - tan 30°) ≈ 44.80 ft
Angle A=opposite/adjacent shift tan Angle B=90-Angle A
Suppose the length of the shadow is s metres. Then tan(62 deg) = 45/S so that S = 45/tan(62 deg) = 45/1.88 (approx = 23.93 metres, approx.
You can calculate this on any scientific calculator. Those calculators don't usually have a special key for the cotangens, but this is the same as 1 / tan(68).