almavaldez45
15.04.2020 •
Mathematics
To travel from Pottstown to Cogsville, a man drives his car 92 miles due east on one road, and then 15 miles due north on another road. describe the path that a bird could fly in a straight line from pottstown to cogsville. what angle does the line make with the two roads that the man used?
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Ответ:
The bird's path forms an angle of 9.3° with the first (driving east) road and an angle of 80.7° with the second (driving north) road
Step-by-step explanation:
Let
A ----> Pottstown
C ----> Cogsville
B ----> the intersection of the two roads
In this problem we have that the two roads are perpendicular
(Remember that North and East are perpendicular axis)
so
see the attached figure to better understand the problem
we know that
The path that a bird could fly in a straight line from Pottstown to Cogsville is the segment AC
so
Find the measure of angle A
In the right triangle ABC
----> by TOA (opposite side divided by the adjacent side)
substitute the given values
Find the measure of angle C
In the right triangle ABC
we know that
The sum of the angle A and the measure of angle C is 90 degrees , because are complementary angles
we have
substitute
therefore
The bird's path forms an angle of 9.3° with the first (driving east) road and an angle of 80.7° with the second (driving north) road
Ответ:
0.5 miles per hour.
Step-by-step explanation: