9514 1404 393
Answer:
31.243 units
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.
Sin = Opposite/Hypotenuse
sin(30°) = BE/100
BE = 100·sin(30°)
Then ...
Tan = Opposite/Adjacent
tan(58°) = BE/x
x = BE/tan(58°) = 100·sin(30°)/tan(58°)
x ≈ 31.243 . . . . units
_____
<em>Comment on the figure</em>
The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.
....................................................................
Answer:
Mean Absolute Deviation (MAD): 1.6
60% of trip = 45 miles
let total trip distance = l
60% is given by multiplying by 0.6
So;
0.6l = 45 \\ \\ l = \frac{45}{0.6} \\ \\ \boxed{l = 75}
Your answer is 75 miles
No they're not proportional, and it's four*.
4/2 = 2
20/6 = 3.333333333334 or 3 1/3