Question

mike is loading a moving van by walking upa ramp. The ramp is 10 feet long and the bed of the van is 2.5 feet above the ground. How far does the ramp extend past the back of the van ?

Answer 1

Answer:

ramp = 10

bed of van = 2.5

so we need to subtract

10 - 2.5 = 7.5

Step-by-step explanation:

i hope it's helpful to you and thank me

Answer 2

The ramp extends 10.86 feet past the back of the van.

As per the question given,

Assuming the ramp is inclined at an angle that allows Mike to walk up it, we can use trigonometry to solve this problem. Let's call the distance the ramp extends past the back of the van "x". Then, using the right triangle formed by the ramp, the ground, and the vertical distance to the bed of the van, we can set up the following equation:

tan(theta) = vertical distance/length of the ramp

where theta is the angle of inclination of the ramp. We can solve for the length of the ramp that extends past the back of the van by rearranging this equation:

length of ramp = vertical distance / tan(theta)

We know that the vertical distance to the bed of the van is 2.5 feet, and we can see from the diagram that the length of the ramp is 10 feet. So we need to find the angle of inclination of the ramp, which we can do using the inverse tangent function:

theta = arctan(vertical distance / length of ramp)

theta = arctan(2.5 / 10) = 14.04 degrees

Now we can plug this angle into our equation to find the length of the ramp that extends past the back of the van:

length of ramp = 2.5 / tan(14.04) = 10.86 feet.

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