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Answer :
The highway would be directed at an angle with respect to due west. To find this angle, we can use trigonometry.
First, let's draw a diagram to visualize the situation. Place one town at the origin (0,0) on a coordinate plane. The other town is located 68.3 km west and 37.1 km south of the origin.
Next, we can find the length of the hypotenuse of the right triangle formed by the two towns. Using the Pythagorean theorem, we have:
hypotenuse = sqrt((68.3 km)² + (37.1 km)²)
Now, we can find the angle θ between the hypotenuse and the due west direction. We can use the inverse tangent function (arctan) to find this angle:
θ = arctan(37.1 km / 68.3 km)
Calculating this, we find that θ is approximately 28.3 degrees.
Therefore, the highway would be directed at an angle of 28.3 degrees with respect to due west.
The highway would be directed at an angle of 28.3 degrees with respect to due west.
To know more about Pythagorean theorem visit:
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