Sailor moon is atop the lighthouse that is 40 feet high. She looks down and sees her best friend, memory on a boat at point C, 51 feet from the base of the lighthouse. Enter the measure of the angle of depression, angle b, from sailor moon to her best friend.

Angle of depression = 38.1°

Step-by-step explanation:

We are told that;

- The sailor moon is atop a lighthouse with height of 40 ft.

-She sees her friend at point C which is 51ft from the base of the lighthouse.

I have attached a diagram depicting this question.

From the diagram, using congruent triangles, we can see that, the angle of depression = θ

Thus, using pythagoras theorem,

tan θ = 40/51

tan θ = 0.7843

θ = tan^(-1)0.7843

θ = 38.1°

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step-by-step explanation:

she will travel a distance in the range of 3 - 11 miles