SOLUTION: I have having problems with solving the following. If anyone can provide me with the steps it would be appreciated. The measurement of land area assumes that the land is horizo

Question 144075: I have having problems with solving the following. If anyone can provide me with the steps it would be appreciated.
The measurement of land area assumes that the land is horizontal. What is the actual area of a 4.38 ha field if it is on a 15% slope.
Thanks, much appreciated.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Assuming the field is a square and has area = 4.58 on the horizontal,
it has a side of sqrt(4.58) = 2.1401..
------------------------------------------
The 15% slope has a gradiant of 0.15*90 degrees = 13.5 degrees
----------------------
The horizontal side projects to a hypotenuse of a right triangle
with an angle of 13.5 degrees adjacent to the 2.1401.. base.
----------------------
The length of that projected hypotenuse is 2.1401../cos(13.5)
= 2.2009..
----------------
Therefore the horizontal square projects to a quadrilateral with area
= 2.2009*2.1401 = 4.71012 ha
===============
Cheers,
Stan H.
RELATED QUESTIONS
Hello, I need a little help with the following. Square root of 3x+1 - square root of... (answered by stanbon)

I'm having difficulty with solving the following problems. I would be greatful if someone (answered by ewatrrr,ReadingBoosters)

Anyone willing to help me with two problems in having? These are my last two problems... (answered by Alan3354)

Hi again, can anyone show me how to use Gaussian Elimination? I have to use it to solve... (answered by Edwin McCravy)

Help with logarithmic problems? 1. Rewrite as an equivalent logarithmic equation with... (answered by ankor@dixie-net.com)

Hello, I have no idea how to do the following problems. I have tried but I just don't get (answered by checkley71)

I have having trouble solving this..can you help me with the steps... (answered by Alan3354,stanbon)

Hi guys, was hoping someone could help me with the following 2 similiar problems: For... (answered by checkley77)

Hi again, I am having some recurring trouble with the following. I need to solve for x... (answered by vleith)