# Trigonometry homework help please:)?

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

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
• 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°.