In the summer, humidity interacts with the outdoor temperature, making a person feel hotter due to a reduced heat loss from the skin caused by higher humidity. The temperature-humidity index,
Upper T Subscript hTh,
is what the temperature would have to be with no humidity in order to give the same heat effect. One index often used is given
byUpper T Subscript h Baseline equals 1.98 Upper T minus 1.09 left parenthesis 1 minus Upper H right parenthesis left parenthesis Upper T minus 58 right parenthesis minus 56.9Th=1.98T−1.09(1−H)(T−58)−56.9,
where T is the air temperature, in degrees Fahrenheit, and H is the relative humidity, expressed as a decimal. Find the temperature-humidity index if
Tequals=8282degrees°
and
Hequals=6666%.