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Trigonometry homework help please:)?

0 votes
a ramp that is 12 feet long is used to reach a doorway 3.5 above the level ground find the measure the ramp makes with the ground to the nearest degree

Work would be greatly appreciated thanks :)
asked Feb 9, 2013 in TRIGONOMETRY by skylar Apprentice

1 Answer

+2 votes

A right triangle with an opposite(BC) side of 3.5 and a hypotenuse(AC) of 12.

The relationship between the opp. and the hyp. is the Sine: Sinθ = BC/AC = opp/hyp.

sonθ=3.5/12=0.2916

Trigonometric table in sin16°.99' = 0.2916

sinθ = sin16°.99' then θ = 16°.99'

Therefore the ground to the nearest degree is 17°.

answered Feb 12, 2013 by britally Apprentice
  • Draw a right triangle.

  • The side opposite is the 3.5 feet that the ramp - the distance the hypotenuse of the right triangle - rises. Now we have a right triangle with an opposite side of 3.5 and a hypotenuse of 12.
  • The relationship between the opposite side and the hypotenuse is the Sine :
  • Sin θ = opposite side/hyp.

sin θ = 3.5/12 = 0.2916

Trigonometric table in sin16°.99' = 0.2916

sinθ = sin16°.99' then θ = 16°.99'

  • Therefore, the ground to the nearest degree is 17°.

 

Source : https://in.answers.yahoo.com/question/index?qid=20130208194030AAkoZes

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