Question

Jennifer stands 80 ft above sea level at the top of a lighthouse. she sees a boat sailing 400 ft from the lighthouse.what is the angle of depression from the top of the lighthouse to the boat?round to the nearest whole degree.

Answer 1

11 degrees is the answer

Answer 2

Let

X= the altitude of the lighthouse above sea level= 80 ft

A = the angle of depression

Y= the distance of the boat from the lighthouse= 400 ft

tan A=X/Y------------------ > 80/400=0.2

arctan (0.2)=11.31 degree

The answer is the angle of depression is 11 degree