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5. stem sound travels about 1,125.33 feet in a second. an engineer dete…

Question

  1. stem sound travels about 1,125.33 feet in a

second. an engineer detects the sound of an
explosion from a test site 8 seconds after the
blast.
a. use the equation ( d = rt ) to estimate how
far away the engineer was in feet and in
miles from the blast.

Explanation:

Step1: Calculate distance in feet

Given the formula \(d = rt\), where \(r = 1125.33\) feet per second and \(t = 8\) seconds.

$$d=1125.33\times8$$
$$d = 9002.64$$

feet.

Step2: Convert feet to miles

Since \(1\) mile \(= 5280\) feet. Let \(x\) be the distance in miles. Then \(x=\frac{9002.64}{5280}\).

$$x=\frac{9002.64}{5280}=1.7$$

miles.

Answer:

The engineer was \(9002.64\) feet and \(1.7\) miles from the blast.