anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Use basic trigonometric formulas and you will get the answer.....give it a try
anonymous
  • anonymous
im trying but im so stuck :/
anonymous
  • anonymous
ok so draw the figure and then try ......there is an option down called draw...use it and draw the figure then let me tell u the step by step procedure

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More answers

anonymous
  • anonymous
Draw a picture, |dw:1326910244892:dw|, then figure out the lengths of the distance between the middle point of the triangle and the second rope (the one at a 30 degree angle). Take the problem one step at a time
anonymous
  • anonymous
|dw:1326910345044:dw|
anonymous
  • anonymous
|dw:1326910115983:dw|
anonymous
  • anonymous
sorta! i can draw in this at all
anonymous
  • anonymous
Balloon 18 feet in air held by two ropes forming two right triangles. Rope 1 forms a base angle of 45 degrees. Rope 2 forms a base angle of 30 degrees.
anonymous
  • anonymous
ok so now how do i find the answer!
anonymous
  • anonymous
use one of the trig ratios sin cos or tan the second rope refers to the angle 30 degrees i guess
anonymous
  • anonymous
i dont know..thats why i posted this...
anonymous
  • anonymous
you need to find which side is opposite the 30 degrees and which is adjacent- does that help?
anonymous
  • anonymous
so the hypotenuse??????
anonymous
  • anonymous
can you just give me the answer it will save me so much time.,..
anonymous
  • anonymous
no - the hypotenuse is the longest side of the rt angled triangle - in this case its the rope the opp side is the 18 ft and ground length(which is what you need is adjacent ( to 30 degree angle} so u need the ration which is opposite / adjacent which is ??
anonymous
  • anonymous
im not working on those tho!! im working on 45-45-0 and 30-60-90 triangles
anonymous
  • anonymous
ok i can give u the answer - i was also trying to help you with the concept ok in 30-60-90 triangle, side opposite 30 degrrees is 1 and adjacent is 2 so 1 / 2 = 18 / x x = 36 - thats the distance you require
anonymous
  • anonymous
oh no - i'm an idiot - sorry opp side is 1 and adjacent is sqrt3 so 1 / sqrt3 = 18 / x so x = 18*sqrt3
anonymous
  • anonymous
so what is the main answer????
anonymous
  • anonymous
correct is 18*sqrt3 or 31.18 feet to 2 dec places
anonymous
  • anonymous
thanks..
anonymous
  • anonymous
yw
anonymous
  • anonymous
well, i have another wuestion but are you able to answer it in a simpler way?
anonymous
  • anonymous
yea
anonymous
  • anonymous
ok...one second please.
anonymous
  • anonymous
In the figure below, the length of line segment CB is 64 units and the length of line segment BG is 137 units. What is the length of line segment EA?
anonymous
  • anonymous
i will draw it one moment
anonymous
  • anonymous
|dw:1326911563739:dw|
anonymous
  • anonymous
length of BA = BC = 64 so length of AG = 137 - 64 = 73 as angle EAG = 60 degrees AG / EA = 1/2 so 73 / EA = 1/2 EA = 2*73 = 146
anonymous
  • anonymous
so the answer is 146?
anonymous
  • anonymous
yes 146
anonymous
  • anonymous
ok! and i promise this is the last one i have 1 more.
anonymous
  • anonymous
A toddler’s playground has two slides on either side. The slide on the left is situated at a 45° angle to the ground and is 52 centimeters away from the base of the playground. The slide on the right is positioned at a 30° angle to the ground and is 98 centimeters away from the playground’s base. What is the total length of both slides on this playground rounded to the nearest tenth of a centimeter? Playground with two slides. Left slide has base measuring 52 centimeters and base angle of 45 degrees. Right slide has base measuring 98 centimeters and base angle of 30 degrees.
anonymous
  • anonymous
do you need me to draw this?
anonymous
  • anonymous
no its alright ill draw it
anonymous
  • anonymous
ok i think it is asking for perimeter? im not quite sure though.
anonymous
  • anonymous
|dw:1326912527404:dw|
anonymous
  • anonymous
445.287? i think that is the correct answer
anonymous
  • anonymous
no sorry..i screwed that up im stupid..
anonymous
  • anonymous
no wait..thats correct. i believe.
anonymous
  • anonymous
its asking for the lengths of the slides themselves - the sloping parts
anonymous
  • anonymous
so 165.167?
anonymous
  • anonymous
45 degree slide has length 52sqrt2 30 ................................ 98*2 = 196 total is 269.54
anonymous
  • anonymous
oh....ok
anonymous
  • anonymous
yourmom the first slide measure comes to 52/sin 45 and the next one is 98/sin 30
anonymous
  • anonymous
what we are finding is lengths of hypotenuse
anonymous
  • anonymous
i know that. so one second.
anonymous
  • anonymous
so like jimmyrep says 269.54 is the answer
anonymous
  • anonymous
i put that and got it wrong..thanks..
anonymous
  • anonymous
that was wrong but thanks anyway..
anonymous
  • anonymous
sorry your mom it comes to 263.54
anonymous
  • anonymous
its ok b

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