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:
Team A: 25 players
Team B: 24 players
Step-by-step explanation:
Team A:
to find the total # of players of the team we need to set up a fraction. 5 out out of an unknown number of players is equal to 1/5, so we set it up as:

then we cross multiply to get
x*1 = 5*5
x=25 players
Team B
similarly to Team A

cross multiply to get
x*1=3*8
x= 24 players
First write out your original equation.

Then use the law of exponents(power of a power) to simplify.

(Multiply the numerator and denominator exponents by the outside power.)
The answer is 4 to the 21st over 5 to the 6th.
Answer:
1035.33 feet
Step-by-step explanation:
h=900tan49
=1035.33 feet
I hope it helps
The answer is 14.27 :) correct me if wrong I think I am