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2. The bottom of a ramp is placed 15 feet from the edge of a stage

platform. The ramp is 3 feet off the ground when it is 10 feet from

the edge of the stage.


A What is the slope of the ramp? Show your work.

Respuesta :

Answer:

The slope of the ramp is 1.

Step-by-step explanation:

See the diagram attached.

Here, AC  = 15 ft. and ED = 5 ft. while AE = 10 ft.

Then, EC = (15 - 10) = 5 ft.

Now, considering the right triangle Δ EDC, if [tex]\theta[/tex] is the inclination of the ramp, then [tex]\tan \theta = \frac{ED}{EC} = \frac{5}{5} = 1[/tex]

Hence, [tex]\theta = 45 ^{\circ}[/tex]

Therefore, the slope of the ramp is 1. (Answer)

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