Angle of depression from point a to point c

The angle of depression is the angle formed by the horizontal line of sight intersecting with the line of sight down to an object. You might estimate the angle of depression if you were standing on top of a hill or a structure, gazing down at an item.

How do we solve the given question?

We are asked to find the angle of depression from point A to point C.

We can see the horizontal line of sight by the dotted line. We let this line be AD.

We know that AD ⊥ AB, as AD is the horizontal line of sight, and AB is also perpendicular to B (given).

∴ ∠DAB = 90°.

We can write ∠DAB = ∠DAC + ∠BAC.

or, 90° = ∠DAC + 58°

or, ∠DAC = 90° - 58° = 32°.

We know ∠DAC represents the angle of depression from point A to point C, as DA is the horizontal line of sight and AC is the line of sight to the object, and ∠DAC is between the lines DA and AC.

∴ The angle of depression from point A to point C is 32°.

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