The swimmer is 160 feet from the base of the platform
The diagram representing this illustration is shown below
Braylen's height = 6 feet
The platform's height = 8 feet
Total height = 8 + 6
Total height = 14 feet
Angle of depression, θ = 5°
Let the distance between the swimmer and the base of the platform be x
The value of x is calculated using the trigonometric identity below
[tex]tan \theta = \frac{Opposite}{Adjacent} \\\\tan 5 = \frac{14}{x} \\\\\\0.0875 = \frac{14}{x} \\\\\\0.0875x = 14\\\\\\x = \frac{14}{0.0875} \\\\\\x = 160[/tex]
The swimmer is 160 feet from the base of the platform
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