area triangle:
(1.7m×2m)×2
= 1.7m²
-> 2 triangles so: 1.7m²×2= 3.4m²
area rectangles(walls):
2m×3m
= 6m²
-> 2 walls so: 6m²×2=12m²
area bottom rectangle:
3m×2m=6m²
-> total area:
6m²+12m²+3.4m²= 21.4m²
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart.
A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
From Pine Knob:
From Pine Knob:
1 answer:
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Answer:
a.
b.
Step-by-step explanation:
Remember that for any curve
The tangent vector is given by
And the normal vector is given by
a.
For this case, using the chain rule
And also remember that
Therefore
Similarly, using the quotient rule and the chain rule
And also
Therefore
Notice that
1.
2.
b.
Simlarly
and
Therefore
Then
and also
And since