A ramp into a building forms a 7° angle with the ground. If the entry point of the ramp is 6 feet from the building, how many feet long is the ramp? Round the solution to the nearest hundredth.

(A) 5.33 feet
(B) 6.05 feet
(C) 7.04 feet
(D) 7.96 feet

B

Step-by-step explanation:

We should visualize the ramp and the building forming a right-triangle.

Please check attachment for the expected diagrammatic representation.

Now, what we are asked to calculate here is the hypotenuse which represents the length of the ramp.

Whet we have however is the length of the adjacent.

Mathematically, the trigonometric ratio that links the adjacent and the hypotenuse is the cosine

Mathematically Cosine of an angle = length of adjacent/length of hypotenuse

looking at the diagram, our angle is 7 while our adjacent is 6 feet

Using change of formula subject;

Cos 7 = 6/hypotenuse

hypotenuse = 6/Cos 7 = 6.05 feet

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

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