Two planes may intersect, be parallel, or coincide .
If two planes intersect, then the set of common points is a line that lies in both planes. Two parallel planes can not intersect.
The intersection of two planes that do not coincide (if it exists) is always a line.
If an intersection of the planes does not exist, the planes are said to be parallel.
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
Answer:
Step-by-step explanation:
5
All real numbers would be the domain here
