SOLUTION: What is the geometric mean between 12 and 1/27? Olivia is 5.5 ft tall and she is standing 54 ft from a tree. From her head has a angle of elevation of 47 degrees. How long is th

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Question 1030322: What is the geometric mean between 12 and 1/27?
Olivia is 5.5 ft tall and she is standing 54 ft from a tree. From her head has a angle of elevation of 47 degrees. How long is the tree?
Sophia is flying a kite 4 ft above the ground and the string creates an angle of elevation of 67 degrees, if the kite is at an altitude of 121 ft. What is the total string length that she has let out?
Caleb has a 22 ft tall tree fort. The base of his slide is 19 ft away from his fort. what is the angle of elevation that the slide forms with the ground?
Found 2 solutions by ikleyn, addingup:
Answer by ikleyn(52814) (Show Source):
You can put this solution on YOUR website!
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What is the geometric mean between 12 and 1/27?
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It is = = .

Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
First we multiply them: 12�1/27 = 12/27 = 0.4444
Then take the square root: √0.4444 = 0.66667 This is your geometric mean
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TOA: Tangent(theta) = opposite/adjacent
5.5 ft tall - standing 54 ft from tree
47 degrees
tan 47 = x/54
1.0724 = x/54
x = 1.0724*54
x = 57.9 To this add her height
. . 5.5
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. . 63.4 feet is the height of the tree
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SOH: Sine (theta) = opposite/hypotenuse
sin (67)= 121/h
0.9205 = 121/h multiply both sides by 121
h = 0.9205*121 = 111.38 is the hypotenuse of your triangle which in this case is the length of the string assuming the string was perfectly straight.
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I don't understand your last problem.