We can receive radio waves from the tower. Because our shortest position to the tower is less than 20 miles.

Step-by-step explanation:

Be discovered:

A radio tower services a 20 mile radius.

You stop your truck 8 miles east and 9 miles north of the tower

Question:

Will you be able to receive radio waves from the tower?

Asked:

To solve this problem, the steps we need to take are:

The first step, we determine our position (shortest distance) to the tower.

To find the shortest distance, we use the Pythagorean formula.

a² + b² = c²

c² = a² + b²

[tex]c^2=8^2+9^2\\\\c^2=64+81\\\\c^2=145\\\\c=\sqrt{145} \\\\c= 12,04[/tex]

Because our shortest position to the tower is less than 20 miles, we can receive radio waves from the tower.

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• You can also read about the Pythagorean theorem here https://brainly.ph/question/110966

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