Im stuck in this exercise
2 answers:
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Answer:
The angle of elevation to the top of the building is 63.61 degrees
Step-by-step explanation:
Here, we want to calculate angle of elevation to the top of the building.
For this, we need a triangle
Please check for this in the attachment.
From the diagram, we are to calculate the angle theta.
To do this, we use trigonometric identities.
Looking at what we have, we have the hypotenuse and the adjacent.
So the trigonometric identity to use is the cosine
Mathematically Cosine theta = adjacent/hypotenuse
Thus, Cos theta = 20/45
Cos theta = 0.444444444444444
Theta = Arc cos(0.444444444444444)
Theta = 63.61 degrees
Answer:
The function for the outside temperature is represented by , where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
Mean temperature
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If ,
and
, the resulting function for the outside temperature is: