what are the angles of depression from observing position d and e respectively of the object a in which angle - Maths - Some Applications of Trigonometry

Question

what are the angles of depression from observing position d and e
respectively of the object a in which angle dab is 45 degree and
angle aec is 60 degree

Varun.Rawat · Accepted Answer

We have ∠DAB = 45°
Through point D, draw a line DY parallel to AC
Now, DY∥AC and DA is a transversal, then∠ADY = ∠DAB   Alternate interior angles⇒∠ADY = 45°Now, ∠AEC = 60°Through point E, draw a line EX parallel to AC
Now, EX∥AC and AE is a transversal, then∠AEX = ∠EAC   Alternate interior anglesIn ∆ACE,∠EAC + ∠ACE + ∠AEC = 180°   Angle sum property⇒∠EAC + 90° + 60° = 180°⇒∠EAC = 30°So, ∠AEX  = 30°Hence, the angle of depressions of the object at A from point D and E are 45° and 30°

what are the angles of depression from observing position d and e respectively of the object a in which angle dab is 45 degree and angle aec is 60 degree