How far from the door must a ramp begin in order to rise 3 feet with an 8 degree angle of elevation

Step-by-step explanation:

We know that the angle of elevation is 8 degrees.

We know that the height of the opposite side of the angle is 3 feet.

We want to know the adjacent side (the side from the start of the ramp to the bottom of the opposite side)

We can do this with tangent

The distance between the ramp and the door can be calculated using the principle of Pythagoras, Hence, the distance should be 21.34 feets

Using SOHCAHTOA :

Tanθ = Opposite / Adjacent

Tan(8°) = 3 / d

0.1405408 = 3 / d

0.1405408d = 3

Divide both sides by 0.1405408 to isolate d

0.1405408d / 0.1405408 = 3 / 0.1405408

d = 21.34 feets

Therefore, the distance of the ramp from the door should be 21.34 feets

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48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.

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step-by-step explanation: easy math