Answer:
162 metres
Step-by-step explanation:
Since h is proportional to the square of v, we know that their ratio must be constant, so where v1 and v2 are velocities and h1 and h2 are their respective heights.
Since we are given that v = 10 and h = 8, we can set v1 = 10 and h1 = 8 and since we are trying to find the height for v = 45, we can set v2 = 45. Inputting these values into the equation and solving, we get
10^2/8 = 45^2/h2
h2 = 45^2/(10^2/8) = 162 metres
I hope this helps!
The radius of the circle is a line from the center of the circle to its circumference
The radius of the circle with the same vertex as a center is 10.16 units
<h3>How to determine the radius</h3>From the question, we understand that:
Start by calculating the area of the triangle using:
So, we have:
This gives
The arc divides the triangle into two equal regions.
So, the area of the arc is:
Also, the area of the arc is:
So, we have:
Simplify
This gives
Divide both sides by 0.523
Take the square roots of both sides
Hence, the radius of the circle with the same vertex as a center is 10.16 units
Read more about circumcised triangles at: