Answer:
C. 6
Step-by-step explanation:
Recall that inverse variation is given by:
Where <em>k</em> is the constant of variation.
We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:
Solve for <em>k: </em>
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Hence, our equation is:
We want to find <em>x</em> when <em>y</em> = 24. Substitute:
Cross-multiply:
Divide both sides by 24. Hence:
Our answer is C.
Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.
<h3>What is the Pythagoras theorem?</h3>Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.
It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.
The given data in the problem will be;
L is the length of ramp= 10 feet
x is the horizontal distance from the bottom of the ramp = 8 feet
h is the height from the ground to the top of the ramp=?
According to Pythagoras theorem,
Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.
To learn more about the Pythagoras theorem refer to the link;