Question 1059431
{{{ s = 21.9*sqrt( 5t + 2457 ) }}}
{{{ 1114 = 21.9*sqrt( 5t + 2457 ) }}}
{{{ sqrt( 5t + 2457 ) = 50.8676 }}}
Square both sides
{{{ 5t + 2457 = 2587.5107 }}}
{{{ 5t = 130.5107 }}}
{{{ t = 26.1021 }}}
The temperature was 26.1021 degrees F
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check:
{{{ s = 21.9*sqrt( 5t + 2457 ) }}}
{{{ 1114 = 21.9*sqrt( 5*26.1021 + 2457 ) }}}
{{{ 1114 = 21.9*sqrt( 130.5105 + 2457 ) }}}
{{{ 1114 = 21.9*sqrt( 2587.5105 ) }}}
{{{ 1114 = 21.9*50.8676 }}}
{{{ 1114 = 1114.0004 }}}
close enough