https://file.aiquickdraw.com/mathbot/file/1725501488647qqd0phbz.jpg

The problem is asking for the calculation of the temperature-humidity index \( T_h \) using the given formula:

\[
T_h = 1.8T - 1.0(1 - H)(T - 58) + 55
\]

where:
- \( T \) is the air temperature in degrees Fahrenheit.
- \( H \) is the relative humidity expressed as a decimal.

From the image, we are given:
- \( T = 87^\circ F \)
- \( H = 60\% = 0.60 \)

Let's substitute these values into the formula and solve for \( T_h \).The temperature-humidity index at \(87^\circ F\) and 60% humidity is \(200.0\).

Would you like further details on the calculation? Here are 5 related questions:

1. How does the temperature-humidity index affect comfort levels?
2. What are some methods to reduce the perceived heat during high humidity?
3. How does the index change with a higher temperature but the same humidity?
4. How would lowering the humidity to 40% affect the index at \(87^\circ F\)?
5. Can this index be used in predicting heatstroke risks in extreme climates?

**Tip:** The higher the humidity, the less effectively the body can cool itself through evaporation of sweat, making the temperature feel hotter than it is.

Find the temperature-humidity index given that the temperature is 87°F and the relative humidity is 60%.

Learn how to calculate the temperature-humidity index for a temperature of 87°F and a relative humidity of 60%. This problem uses the formula T_h = 1.8T - 1.0(1 - H)(T - 58) + 55 to determine how humidity impacts the perceived temperature. Suitable for students in Grades 9-12.

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