Answer:
The length of the rope between the boat and the dock is of 30 feet.
Step-by-step explanation:
Given:
tan(40) ≈ 0.839
Angle of depression = 40 (deg)
Distance between boat and the floor of the ocean = 25.17 feet
If we look into the diagram we can see that,they form 2 right angled triangle.
Where we can say that :
Distance between boat and dock = Rope's distance = Base of the triangle.
Let the length of the rope be 'x' feet.
Considering the dotted triangle:
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Length of the rope between the boat and the dock is 'x' = 30 feet.
Answer:
The vector equation
The parametric equation
Step-by-step explanation:
Given
Required
The vector equation
First, we calculate the position vector of the point.
This is represented as:
The vector equation is then calculated as:
Open bracket
Collect like terms
Factorize
The parametric equation is represented as:
Where
By comparison:
D is the answer because it doesn’t add up correct
Answer:
Step-by-step explanation:
Let us assume that the eagle's elevation is 100 meters above.
We can multiply -14.2 by 0.8.
We now get -11.36.
We can add this to (-14.2*4).
We now get -11.36 + -56.8.
We can add those together to get the answer.
-11.36 + -56.8 = -68.16.
Then we can add that to 100 (since it is negative).
100 + (-68.16) = 31.84.
The eagle's elevation would be 31.84 meters if its starting position was 100 meters, meaning that the equation would be (a - 68.16).
