Answer:
∠D = ∠E = 46°
Step-by-step explanation:
∠D and ∠E are interior opposite angles.
∠D = ∠E
2(x + 8) = 3x + 1
2x + 16 = 3x + 1
x = 15°
∠D = 2(15 + 8) = 2 × 23 = 46°
∠E = 3× 15+ 1 = 45 + 1 = 46°
The measure of angle of elevation and angle of depression between points A and B is 46°.
The angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards at an object.
The angle of elevation is an angle between the horizontal plane and oblique line from the observer’s eye to some object above his eye.
The measure of angle of depression and angle of elevation between two points is equal.
⇒Angle of elevation = Angle of depression
⇒3x + 1 = 2(x + 8)
⇒3x + 1 = 2x + 16
⇒x = 15
Measure of angle = 3x + 1 = 46°
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