A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth. 5. 33 feet 6. 05 feet 7. 04 feet 7. 96 feet.

7.96

Step-by-step explanation:

The ram forms a right triangle with the ground so the ram is hypotenuse side

the distance from the building is the adjacent side

so cos(6 degrees) = a/y

so a = y (cos6) = 8(cos6) = 8(0.995) = 7.96

a

explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)