Question

A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to the truck is 8 feet, what is the height from the ground to the top of the ramp ? A) 3. 0 ft B) 4. 5 ft C) 5. 0 ft D) 6. 0 ft.

Answer 1

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.

What is the  Pythagoras theorem?

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,

$\rm H^2=P^2+B^2 \\\\ \rm l^2=h^2+X^2 \\\\ \rm 10^2=h^2+8^2 \\\\ \rm h=\sqrt{100-64 } \\\\ \rm h=36 \\\\ \rm h=6 ft$

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;

brainly.com/question/343682