Answer:
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:
x = 6
Step-by-step explanation:
The way to solve this is by subtracting 2x from both sides. Now we have
2x-5=7
Then we add 5 from both sides. Now we have
2x=12
We do this because we want X by itself
Then we divide by 2 on both sides and now we have
x = 6
If you have any questions feel free to ask in the comments.