Question

Help please. There are many ropes keeping a hot air balloon from floating away before a balloon race. One of these ropes is fixed to the ground at a 45° angle. Another is fixed to the ground at a 30° angle.

If the hot air balloon is 18 feet off the ground, what is the distance between the ground directly underneath the balloon and the second rope rounded to the nearest hundredth of a foot? Type the numeric answer only in the box below.

Numerical Answers Expected!

Answer 1

I did this and got 40.98 but it wasn't correct.

Answer 2

which ratio you took

Answer 3

you need to find x, the entire horizontal distance

Answer 4

ok I am trying to remember how I got the answer.

Answer 5

take ur time :)

Answer 6

if it doesnt make sense, we can work it from scratch

Answer 7

Word problems always confuse me for some reason.

Answer 8

they confuse everyone initially.. once you do few of them, u wil enjoy...

Answer 9

look at the pic.

Answer 10

and tell me, how high the balloon is.

Answer 11

Balloon is 18 feet off the ground

Answer 12

right, it is 18 feet high

Answer 13

we need to find the distance right below the balloon to the rope2 hooking point

Answer 14

right ?

Answer 15

yes

Answer 16

we need to find the x

Answer 17

imagine this - goto the rope2 corner, and look at the balloon

Answer 18

ok

Answer 19

your opposite side wud be 18

Answer 20

your adjacent side wud be x

Answer 21

right ?

Answer 22

yes

Answer 23

you have opposite, adjacent. tell me what ratio we can use ?

Answer 24

would it be 18/x

Answer 25

correct, we can use tan ratio