Answer:
BC ≈ 98.95 feet
Step-by-step explanation:
From the figure attached,
A shark is swimming 42 feet below sea level at point A and a boat on the water is at point C.
If the angle of depression from the coat to shark is 23°,
tan(23°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(23°) = [tex]\frac{AB}{BC}[/tex]
BC = [tex]\frac{AB}{\text{tan}(23)}[/tex]
BC = [tex]\frac{42}{\text{tan}23}[/tex]
BC = 98.947
BC ≈ 98.95 feet
