If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
Answer:
Number of students want to go to Theme Park = 75
Step-by-step explanation:
Note: The given question is incomplete. Complete question is as follow.
Given:
Number of sample student = 30
Place Number of students want to go
Theme Park 10
Theater 5
Sports Center 8
Seaside 7
Find:
How many students want to go to Theme Park.
Computation:
⇒ Probability for students want to go to Theme Park = 10 / 30
⇒ Probability for students want to go to Theme Park = 1 / 3
⇒ Number of students want to go to Theme Park = [1 / 3]225
⇒ Number of students want to go to Theme Park = 75
Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.
Therefore, even if 
is dilated to 
by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.
Please note that this is true for all two dimensional geometric shapes.
Answer:
y - 2 / 4 is equivalent to 1/4y - 1/2
