Answer:
Step-by-step explanation:
The function that could model this periodic phenomenon will be of the form
The tide varies between 3ft and 9ft, which means its amplitude is
and its midline is
.
Furthermore, since at the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is
.
The period of the full cycle is 14 hours, which means
giving us
With all of the values of the variables in place, the function modeling the situation now becomes
The distance the player is from the right post is = 5.1 meters
<h3>Calculation of distance using Pythagorean theorem</h3>The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
Formula for the Pythagorean theorem =
a²= b²+c²
From the diagram given,
The hypotenuse (a) = x²
b= 1.82²
c = 4.8²
x² = 1.82² + 4.8²
x²= 3.3124 + 23.04
x²= 26.3524
a= √26.3524
a= 5.1 meters.
Learn more about distance here:
#SPJ1
