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'

answer: since the question is talking about growth you have to use the growth formula which is inital amount (1 + growth)^time

step-by-step explanation:

the intial amount is 1200, the growth is 4.8, and the time is 7. plug those numbers into the equation, also i think you have to change 4.8 into a percent. but, i have forgotton how to do that. if this is a online class go on to the lesson.

what is

step-by-step explanation: