Answer: the angle of depression is 59.74°
Step-by-step explanation:
The diagram illustrating the situation is shown in the attached photo. Right angle triangle ABC is formed.
The angle of depression,θ and m∠A
are alternate angles. Therefore, m∠A = angle of depression
The height of the footbridge above the pond represents the opposite side of the triangle while the distance of the pond from the footbridge represents the adjacent side of the triangle. To determine m∠A, we would apply the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan m∠A = 12/7 = 1.714
m∠A = Tan^-1(1.714)
m∠A = 59.74°
