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 2 years ago
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.
 2 years ago
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.

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Hero
 2 years ago
Best ResponseYou've already chosen the best response.0I'll let outkast explain since he is so eager

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0can you help me with this? I am not sure where to start and I am suppose to explain it

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1For 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 60degree angle given can be used in a trig function (sine, cosine, or tangent  which one?) to find out the length of side AD.

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0soooo I am still confused what am I doing?

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1Step 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 ?

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0what am I putting in the pathagoreum therum formula

Hero
 2 years ago
Best ResponseYou've already chosen the best response.0Looks like a good explanation going on here so far.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1There 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?

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1"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.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1Do you got it? Or are you still confused on how to use the theorem to get the length of side BD?

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0no 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

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0like I tried the pathegorium thing and I got some rediculas numbers in the thousands

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0I am just frustrated with this problem

J.L.
 2 years ago
Best ResponseYou've already chosen the best response.0When you got the large numbers had you already taken the square root of the number?

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0no i just did the pathagorium thing squared them and then what i have two huge number equal to c^2

Romero
 2 years ago
Best ResponseYou've already chosen the best response.1what are you plugging in for Pythagoras theorem?

Romero
 2 years ago
Best ResponseYou've already chosen the best response.1alright that's good. You are doing the right thing. \[12^2+35^2=c^2\]\[144+1225=c^2\]\[1369=c^2\]

Romero
 2 years ago
Best ResponseYou've already chosen the best response.1now square root both sides....what do you get then?

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1Good job! So c = 37 means the length of side BD in your picture is 37 feet.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1We are done with triangle BCD. Now look at the next triangle, ABD.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1You are given one angle and one side. We can use a trig function to solve for side AD, which is what you need.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1Perfect. 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.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1So tan(60)=opposite/adjacent. What is the side that is opposite of the 60degree angle? It's the side BD, which you just found out is 37 feet. And what is the side adjacent (or next to) the 60degree 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?

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0opposite is 35 but what is the adjacent? 37?

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0oh you multiply AD to both sides

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1The 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 60degree angle in that small triangle is the length BD. BD = 37 feet according to your calculation.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1OH my bad, I mean tan(60)=37/AD

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0you still multiply AD to both sides right

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1tan(60) = opposite/adjacent = 37 / AD

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1So 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)

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1You should get something in the 20s for your answer for AD if you calculate the tan(60).

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1If you practice problems like this over and over they get easier.

mbradar2
 2 years ago
Best ResponseYou've already chosen the best response.1Sorry about a couple of my typos there.

Kathatesmath94
 2 years ago
Best ResponseYou've already chosen the best response.0thank goodness that is over lol sorry I was just frustrated I didnt understand how the big number in the pathagorium therum was working
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