Answer:
Step-by-step explanation:
we are given
y varies directly as x
so, we can write equation as
where
k is constant of proportionality
We have
at x=-1 , y=6
so, we can use it to find k
so, we get
now, we can plug it back
now, we can plug x=5
and we get
The distance between the boat and the ocean's floor is 19m
<h3>
How to get the distance from the ship to the ocean's floor?</h3>
We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.
We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).
Then we use the relation:
Sin(a) = (opposite cathetus)/(hypotenuse).
Replacing the values that we know, we get:
Sin(39°) = d/30m
sin(39°)*30m = d = 18.9m ≈ 19m
The distance between the boat and the ocean's floor is 19m.
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
1/7 chance because there are 7 letters in the word Georgia
