anonymous
  • anonymous
Angelina has a lawn, ABCD. She has placed a watering hose, BD, as shown below. Part A: Angelina plans to put a fence along the length AD of her lawn. What is the length of the fence required? Part B: Using complete sentences, explain how you arrived at the answer for Part A.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Hero
  • Hero
Hi Katlovesmath94
anonymous
  • anonymous
hahah hey :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Hero
  • Hero
I'll let outkast explain since he is so eager
anonymous
  • anonymous
can you help me with this? I am not sure where to start and I am suppose to explain it
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
For the triangle BCD you are given two of the sides and you can use Pythagorean's theorem to find the third side, the length of side BD. Once you have that, side BD and the 60-degree angle given can be used in a trig function (sine, cosine, or tangent -- which one?) to find out the length of side AD.
anonymous
  • anonymous
soooo I am still confused what am I doing?
anonymous
  • anonymous
Step one: look at the triangle BCD. You are given two sides, correct? Let's find the third side, BD. How do we find the third side of a right triangle? Using Pythagorean's theorem. Are you familiar with Pythagorean's theorem? a^2 + b^2 = c^2 ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
what am I putting in the pathagoreum therum formula
anonymous
  • anonymous
|dw:1343004042674:dw|
Hero
  • Hero
Looks like a good explanation going on here so far.
anonymous
  • anonymous
There are 3 sides in a triangle. You are given two of them: 35 ft and 12 ft. Pythagorean's theorem \[a ^{2}+b ^{2}=c ^{2}\] means you can take those two sides you already know and plug them into "a" and "b" then solve for "c." Try it out. What do you get?
anonymous
  • anonymous
"c" here is just a generic variable, like x. In your picture, "c" represents the side BD of the triangle. So if you solve for c, you've solved for the length of side BD.
anonymous
  • anonymous
Do you got it? Or are you still confused on how to use the theorem to get the length of side BD?
anonymous
  • anonymous
no I am still lost not gonna lie I have been working on this for twenty minutes and I am not sure what I am doing
anonymous
  • anonymous
like I tried the pathegorium thing and I got some rediculas numbers in the thousands
anonymous
  • anonymous
I am just frustrated with this problem
anonymous
  • anonymous
When you got the large numbers had you already taken the square root of the number?
anonymous
  • anonymous
no i just did the pathagorium thing squared them and then what i have two huge number equal to c^2
anonymous
  • anonymous
what are you plugging in for Pythagoras theorem?
anonymous
  • anonymous
the 35 and 12
anonymous
  • anonymous
alright that's good. You are doing the right thing. \[12^2+35^2=c^2\]\[144+1225=c^2\]\[1369=c^2\]
anonymous
  • anonymous
now square root both sides....what do you get then?
anonymous
  • anonymous
37?
anonymous
  • anonymous
Good job! So c = 37 means the length of side BD in your picture is 37 feet.
anonymous
  • anonymous
We are done with triangle BCD. Now look at the next triangle, ABD.
anonymous
  • anonymous
You are given one angle and one side. We can use a trig function to solve for side AD, which is what you need.
anonymous
  • anonymous
tan60
anonymous
  • anonymous
Perfect. Do you know the trick to remember the trig functions, SOH CAH TOA? SOH: sin(angle)=opposite/hypotenuse CAH: cos(angle)=adjacent/hypotenuse TOA: tan(angle)=opposite/adjacent.
anonymous
  • anonymous
yes
anonymous
  • anonymous
So tan(60)=opposite/adjacent. What is the side that is opposite of the 60-degree angle? It's the side BD, which you just found out is 37 feet. And what is the side adjacent (or next to) the 60-degree angle? That's the one you're solving for, side AD. So tan(60)=opposite/adjacent=60/AD tan(60)=60/AD Solve for AD. Do you know how to do that?
anonymous
  • anonymous
opposite is 35 but what is the adjacent? 37?
anonymous
  • anonymous
oh you multiply AD to both sides
anonymous
  • anonymous
The 35 is not the opposite side; that's the OTHER triangle; we aren't looking at that triangle at all anymore. We are looking for the opposite side of this small triangle ABD. The opposite of the 60-degree angle in that small triangle is the length BD. BD = 37 feet according to your calculation.
anonymous
  • anonymous
OH my bad, I mean tan(60)=37/AD
anonymous
  • anonymous
you still multiply AD to both sides right
anonymous
  • anonymous
tan(60) = opposite/adjacent = 37 / AD
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
So multiplying both sides by AD gives you (AD) tan(60) = 37. Then divide each side by tan(6), so you get AD = 37 / tan(60)
anonymous
  • anonymous
You should get something in the 20s for your answer for AD if you calculate the tan(60).
anonymous
  • anonymous
Does it make sense?
anonymous
  • anonymous
21.361
anonymous
  • anonymous
Perfect. Good job :)
anonymous
  • anonymous
If you practice problems like this over and over they get easier.
anonymous
  • anonymous
Sorry about a couple of my typos there.
anonymous
  • anonymous
thank goodness that is over lol sorry I was just frustrated I didnt understand how the big number in the pathagorium therum was working

Looking for something else?

Not the answer you are looking for? Search for more explanations.