An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. to the nearest foot, how far is the boat from the base of the lighthouse?

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression =

      [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

Here, BC = 50 foot and

then;

or

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

in the attachment.   i didn't see your choices.   the word which means there is choices.

step-by-step explanation:

(x,y)

x tells you how much left or right you go from the origin

y tells you how much down or up you go from the origin

so for example (-3,2), you go left 3 and up twice. i denoted which of the ordered pairs is which in my graph.