Question

The temperature each hour in Elma, Texas on October 1 is modelled by the equation

t(h) = 10 cos(15h - 10)° + 30 where his hour of the day with 0 meaning midnight, and t is the
temperature in degrees Celsius. How hot did it get in Elma on October 1?

Answer 1

`39.8^(\circ) C`

Explanation:

We are given that the temperature each hour in Elma Texas on October 1 is modelled by the equation

`t(h)=10cos(15h-10)^(\circ)+30`

Where h=Hour of the day with 0 meaning midnight

t=Temperature in degree Celsius

We have to find the temperature on October 1.

Substitute h=0

`t(0)=10cos(15(0)-10)+30`

`t(0)=10cos(-10)+30`

`t(0)=39.8^(\circ) C`

Hence, the temperature in Elma on October 1=
`39.8^(\circ) C`