The angle of depression from the top of a cruise ship to the top of a sailboat is 22° . Sitting above water, the cruise ship is 236 feet tall while the sailboat is 27 feet tall. Find the distance between the cruise ship and the sailboat

The distance between the cruise ship and the sailboat is 517.29 feet

Step-by-step explanation:

see the attached figure to better understand the problem

The point A is the top of a cruise ship

The point B is the top of a sailboat

Let

x ---> the distance between the cruise ship and the sailboat (EB=DC)

we know that

In the right triangle ABE

---> by TOA (opposite side divided by adjacent side)

we have

substitute

solve for EB

therefore

The distance between the cruise ship and the sailboat is 517.29 feet

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !