The tent is 30ft wide with a center pole that is 7ft high what is the angle of elevation from the ground to the top of the pole
tan angle = 7/15
tan^-1 (.466666666.....) = 25 degrees
Did you do 7/30 tan-1 or 7/15? Cause my equation has 30 in it
To find the angle of elevation from the ground to the top of the pole, we can use trigonometry. In this case, since we are given the width of the tent and the height of the center pole, we can think of the tent as a right-angled triangle.
First, let's draw a rough diagram to visualize the situation:
|\
| \
7ft| \
| \
|____\
Here, the center pole forms the height of the triangle, and the tent's width forms the base of the triangle.
To find the angle of elevation (θ), we can use the tangent function:
tan(θ) = opposite/adjacent
In this case, the opposite side is the height of the center pole (7ft), and the adjacent side is half the width of the tent (15ft/2 = 7.5ft).
So, we have:
tan(θ) = 7/7.5
To find θ, we need to take the inverse tangent (arctan) of both sides:
θ = arctan(7/7.5)
Using a calculator, we can plug in the value and find the angle of elevation, which is approximately 41.81 degrees.
Therefore, the angle of elevation from the ground to the top of the pole is approximately 41.81 degrees.