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.
The square root and the squared cancel each other out so it would just be 27 to the first power,which is 27
Carla = 5 years old
Jim = 2 years old
Peter = 15 years old
(Peter was 14 years old one year ago)
5+2=7
7x2=14 (14 is the age from one year ago meaning 15 is the current age)
15-2=13
Mg required per pound = 249/153 = 1.63mg
Therefore medicine required= 102 *1.63= 166.26g
