Answer:
8.53°
Step-by-step explanation:
Observe the attached image.
The ramp forms an alpha angle triangle with an opposite side of 6 ft and an adjacent side of 40 ft.
We know that the tangent of an angle is defined as:
So:
To clear the angle we apply the inverse of the tangent (arctangent) on both sides of the equation:
Answer:
18.95
Step-by-step explanation:
ln 2 x ln (4x) = 3
ln 4x = = 3 / ln 2
ln4x = 3 / 0.69315 = 4.3281
4x = e^4.328 = 75.80
x = 18.95.