Question

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.

Answer 1

Answer:

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°