Smaller number = X
Larger Number = X + 17
47 = X + (X+17)
47 = 2x + 17
47 - 17 = 2x
30 = 2x
X = 15
Answer:
a) r(t) = 0.783t radians
b) h(t) = 30cos(0.783*t) feet
Step-by-step explanation:
The situation is depicted in the picture attached
<h3>(see picture)
</h3>
Since the angular speed is constant, to find an expression for the angle r(t) in radians we just cross-multiply using the fact that 1 min = 60 seconds
4.7 radians __________ 60 seconds
r(t) radians ____________ t seconds
The height h(t) after t seconds is given by
h(t) = 30cos(r(t)) ===>
h(t) = 30cos(0.783*t) feet
You could just subtract the numbers from the line. It's simple.
Log (7/4) is equivalent to log (7.7/4.4), therefore it's log(7.7) - log(4.4), or...
2.0142 - 1.4816 = 0.5326