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Sagot :
Using the slope concept, it is found that the distances from the shore at each moment are given by:
a) 2664 feet.
b) 976 feet.
What is a slope?
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
Item a:
The vertical distance is of 280 feet, with an angle of 6º. The distance from the shore is the horizontal distance of x. Hence:
[tex]\tan{6^\circ} = \frac{280}{x}[/tex]
[tex]x = \frac{280}{\tan{6^\circ}}[/tex]
x = 2664.
Item b:
The vertical distance is of 280 feet, with an angle of 16º. The distance from the shore is the horizontal distance of x. Hence:
[tex]\tan{16^\circ} = \frac{280}{x}[/tex]
[tex]x = \frac{280}{\tan{16^\circ}}[/tex]
x = 976.
More can be learned about the slope concept at https://brainly.com/question/18090623
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