Draw a diagram:
from the top of the hill draw a line 18° above the horizontal to the top of the 30 ft pole.
From the top of the hill we draw a line 14° below horizontal to the bottom of the 30 ft pole.
We now have 2 right triangles sharing a common horizontal line,x, to the pole.
Let y=part of pole above horizontal line
30-y=part of pole below horizontal line.
We shall have the following equations:
y/x=tan 18
30-y/x=tan14
x=y/tan 18
x=(30-y)/tan 14
y/tan 18=(30-y)/tan 14
y tan 14=tan 18(30-y)
ytan 14=30tan 18-ytan18
y tan 14+y tan 18=30tan 18
y(tan 14+tan 18)=30*tan 18
y=(30*tan 18)/(tan 14+tan 18)
x=y/tan 18=30/(tan 14+tan10)=52.2423 ft
thus her distance x from the pole=52.2 ft
Answer:
C(t) = 0.55t + 7.75, $30.85
Step-by-step explanation:
the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride
the variable cost or the cost per minutes driven =
(13.25 - 7.77) / (10 - 0) = 0.55
total cost = 7.75 + 0.55t
cost of 42 minutes = 7.75 + 0.55(42) = $30.85
No the side’s are different
