Can someone help me with this problem?
Find the angle of depression from the top of a light-house 250 feet above water level to the water line of a ship 2 miles offshore.
Thank you so much,
This is a right triangle, where the length of the opposite side is 250ft, the adjacent side is 2miles, and we're looking for the measure of the acute angle.
First, we need to have the units be the same:
A = 250 ft
B = 2 miles = 2*5280 ft = 10560 ft
tan(x) = A/B = 250/10560
x = arctan(250/10560) = 0.023669821 radians = 1.35618085 degrees
I hope this answers your question