for an 8 foot ramp need to be elevated at an angle measure 10 degree to level with a step approximately how far does the ramp need to be away to hit the edge of the step Search instead for an 8 foot ramp need to be elevated at an angle measure 10 dregree to level with a step approximately how far does the ramp need to be away to hit the edge of the step

Question

Mathematics

Maci Alvarado

29 April, 02:01

for an 8 foot ramp need to be elevated at an angle measure 10 degree to level with a step approximately how far does the ramp need to be away to hit the edge of the step Search instead for an 8 foot ramp need to be elevated at an angle measure 10 dregree to level with a step approximately how far does the ramp need to be away to hit the edge of the step

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Answers (1)

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Cristofer Lee · Answer 1

7.878 ft far

Step-by-step explanation:

Given:

- A ramp is to be lifted to an angle Q = 10 degrees

- The total length of the ramp L = 8 ft

Find:

- how far does the ramp need to be away to hit the edge of the step

Solution:

- The question asks in "other words" the horizontal distance (d) from the ramp pivot on the floor to the edge of the step when it is lifted 10 degrees.

- We will use trigonometry to solve a right angle triangle: The horizontal distance is a projection of Length L on to the flat ground surface. Hence, we have:

cos (Q) = d / L

d = L*cos (Q)

- Plug in values:

d = 8*cos (10)

Answer: d = 7.878 ft