Application of Angle of Depression or Elevation.

Question

a man 5ft 5in tall walks along a path that passes at a distance of 3ft from the point directly below a street lamp. if the lamp is 10ft 6in above the ground, find the length of the man's shadow when his distance from the point on his path that is nearest to the lamp is 5ft 3 in.

Answer 1

If you sketch the graph, you can find two similar triangles from which you can write:

x/5'5'' = (x+5'3'')/10'6'', where x is the length of the man's shadow.

Solving for x gives you the answer.

Can you finish it now?

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Attn: I didn't use the information "a path that passes at a distance of 3ft from the point directly below a street lamp."