Question

Patricia has a lawn, ABCD. She has placed a watering hose, BD, as shown below.

Part A: Patricia 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.

Answer 1

first find BD by using pythagoras theorem
later use tan 60º = BD/AD to find AD

Answer 2

I don't know how to do that though. I've been stuck on this question for the longest time.

Answer 3

@myko I don't know how to find AD, please help

Answer 4

you know pythagoras theorem?

Answer 5

30^2 + 16^2 = x^2

Answer 6

right

Answer 7

so... just make the operations

Answer 8

900 + 256 =x^2
1156=x^2
x=sqrt(1156)=?

Answer 9

.. i'm still a little lost how to find x. i'm really sorry. :(

Answer 10

\[\sqrt{1156}=34\]

Answer 11

i feel really bad since you're doing it all. i'd give you a medal or points or anything, i just don't know how. i really appreciate your help.

Answer 12

you know what square root is?

Answer 13

yes, my calculator just doesn't do it. i don't remember how to get it :c

Answer 14

:)

Answer 15

So is AD = 34?

Answer 16

yes

Answer 17

thank you so much, oh my gosh, you have no idea how grateful i am haha. so does this look good: First you have to find BD by using the Pythagoras Theorem. 30^2 + 16^2 = x^2

900 + 256 =x^2
1156=x^2
x=sqrt(1156)=34

Answer 18

no sry, BD=34

Answer 19

ok so then can you tell me how to find AD? :)

Answer 20

now we have to find AD

Answer 21

tan 60º = BD/AD right?

Answer 22

yes :)

Answer 23

\[\tan 60º = \sqrt{3}\]
so:
\[ \sqrt{3}=34/AD\]
so:
\[AD=34/ \sqrt{3}=19.63\]

Answer 24

thanks so much!

Answer 25

you wellcome