What is a rational number that is between 5.2 and 5.5
1 answer:
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The distance of the yacht from the ship is 35 km
<h3>How to determine the distance?</h3>See attachment for the diagram that represents the given parameters.
The distance of the yacht from the ship is then calculated using the following law of cosine.
YS^2 = ST^2 + YT^2 - 2 * ST * YT * cos(T)
This gives
YS^2 = 24^2 + 12^2 - 2 * 24 * 12 * cos(155)
Evaluate the exponents and the products
YS^2 = 576 + 144 + 522
Evaluate the sum
YS^2 = 1242
Take the square root of both sides
YS = 35
Hence, the distance of the yacht from the ship is 35 km
Read more about law of cosine at:
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First, illustrate the problem into a diagram like the one shown in the attached picture. The component vectors are shown in red (y-component) and blue (x-component). Since this is a right triangle, let's apply the trigonometric functions of sine and cos.
y-component, vy:
sin (π/3) = vy/8
vy = 6.928
x-component, vx:
cos (π/3) = vx/8
vx = 4
y-component, vy:
sin (π/3) = vy/8
vy = 6.928
x-component, vx:
cos (π/3) = vx/8
vx = 4