SOLUTION: At a temperature of t degrees; Fahrenheit, sound travels s feet per second, where s=21.9sqrt(5t+2457). During blasting for avalanche control in the mountains, sound traveled at a r

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Question 1059431: At a temperature of t degrees; Fahrenheit, sound travels s feet per second, where s=21.9sqrt(5t+2457). During blasting for avalanche control in the mountains, sound traveled at a rate of 1114 ft/sec. What was the temperature?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+s+=+21.9%2Asqrt%28+5t+%2B+2457+%29+
+1114+=+21.9%2Asqrt%28+5t+%2B+2457+%29+
+sqrt%28+5t+%2B+2457+%29+=+50.8676+
Square both sides
+5t+%2B+2457+=+2587.5107+
+5t+=+130.5107+
+t+=+26.1021+
The temperature was 26.1021 degrees F
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check:
+s+=+21.9%2Asqrt%28+5t+%2B+2457+%29+
+1114+=+21.9%2Asqrt%28+5%2A26.1021+%2B+2457+%29+
+1114+=+21.9%2Asqrt%28+130.5105+%2B+2457+%29+
+1114+=+21.9%2Asqrt%28+2587.5105+%29+
+1114+=+21.9%2A50.8676+
+1114+=+1114.0004+
close enough