SOLUTION: Randol was flying a kite. The 59 ft long kite makes a 24� angle with the ground, but got stuck in a tree. To keep the string from getting tangled, Randol put it under a rock 34 ft

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Question 1072600: Randol was flying a kite. The 59 ft long kite makes a 24� angle with the ground, but got stuck in a tree. To keep the string from getting tangled, Randol put it under a rock 34 ft away from the tree. Randol learned that in order to get the kite out of the tree, the ladder must make a 75� angle with the ground and meet the kite. How long is the ladder?
Answer by ankor@dixie-net.com(22740) (Show Source):
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The 59 ft long kite makes a 24� angle with the ground, but got stuck in a tree.
To keep the string from getting tangled, Randol put it under a rock 34 ft away from the tree.
Randol learned that in order to get the kite out of the tree, the ladder must make a 75� angle with the ground and meet the kite.
How long is the ladder?
:
find the height of the kite in the tree
Use the sin of 24 degrees, where h is the side opposite and the kit string, 59 ft is the hypotenuse
sin(24) =
h = 59*.4067
h = 24 ft is the height of the kite
:
There is something wrong with this scenario.
A right triangle with a side of 34' and a hypotenuse of 59 would not have an angle of 24 degrees.
If the angle is 24 degrees, the distance to the tree would have to be about 54'
You can also check this using pythag: = 59
:
Find the height of the ladder (L) using the sine of 75 degrees
sin(75) =
L =
L = 24.84 ft