Kit L.

asked • 06/10/21# Find θ if d is 2.6 miles. Round to the nearest tenth.

The radar on a ship picks up two shipwrecks, A and B, 5.12 miles beneath the surface. The distance between the shipwrecks is 1.25 miles. The angle of depression to Shipwreck B depends on the horizontal distance, d, from the ship to Shipwreck A.

Find θ if d is 2.6 miles. Round to the nearest tenth.

Write only your numeric answer.

## 1 Expert Answer

Anthony T. answered • 06/10/21

Patient Math & Science Tutor

S------------------------------------

| * θ

| *

| *

| *

|______ __ A___*B__________

F 2.6 1.25

Without a diagram, I can only speculate on the geometry. The diagram above is my interpretation of the problem. The dashed line represent the water surface. The solid line below is the sea floor. The asterisks represent a straight line from the ship S to wreck B. Triangle SFB is a right triangle. The angle SFB is

arctan (2.6 + 1.25) / 5.12= 36.9 degrees. The angle of depression θ is 90 - 36.9 = 53.1 degrees. Round to 2 sig figs.

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Mark M.

Angle of depression from where? The radar? Where is theta. Be more specific.06/10/21