155mtall fisherman stands at the edge of a lake being watche

1.55-m-tall fisherman stands at the edge of a lake, being watched by a suspicious trout who is 3.50 m from the fisherman in the horizontal direction and 45.0 cm below the surface of the water. At what angle from the vertical does the fish see the top of the fisherman’s head?

Solution

Not accounting for refraction of the water surface:
Total vertical height = 1.55 + 0.45 = 2,00m
Horizontal distance = 3.5m
TanA = 2/3.5 = 0.5714
A = 29.7 degrees
90 - A = 60.3 degrees from vertical