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

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!
.
What is the geometric mean between 12 and 1/27?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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
```````````````````````````````````````````````````````````````
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
----------
. . 63.4 feet is the height of the tree
```````````````````````````````````````````````````````````````````
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.
````````````````````````````````````````````````````````````````````````
I don't understand your last problem.
RELATED QUESTIONS
A woodcutter determines the height of a tall tree by first measuring a smaller one 125 ft (answered by scott8148)
Leilah, who is 1.7 m tall, is standing 8 m from a 5 m tall tree. She looks up to the top (answered by josgarithmetic,ikleyn)
Llong is 5 ft tall and is sanding in the light of a 15-ft lamppost. Her shadow is 4 ft... (answered by richwmiller)
a 5-ft tall girl casts a shadow 8 ft. long. she is standing next to a tree that casts a... (answered by checkley77)
Grace is 4 ft. tall and standing in the light of a 20 ft. tall lamppost. her shadow is 8... (answered by scott8148)
A man is 6 ft. tall, and is standing 12 ft. away from a 16 ft. tall lightpost. How long... (answered by vleith)
A light post casts a shadow that is 15 ft. long. Sarah is 5 ft. tall and is standing 4... (answered by math_tutor2020,ikleyn,MathTherapy)
A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft... (answered by malglu)
PLEASE PLEASE PLEASE HELP ME! IT'S DUE IN 5 HOURS ONLINE! THANKS! A woman 5 ft tall is (answered by scott8148)