SOLUTION: The trunk of a leaning tree makes an angle of 12 degrees with the vertical. To prevent the tree form falling
over a 35 m rope is attached to the top of the tree and pegged into th
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over a 35 m rope is attached to the top of the tree and pegged into th
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Question 1195054: The trunk of a leaning tree makes an angle of 12 degrees with the vertical. To prevent the tree form falling
over a 35 m rope is attached to the top of the tree and pegged into the ground some distance away (assume
the ground is level). If the tree is 20 m tall what angle does the rope make with the ground? Found 2 solutions by Edwin McCravy, MathTherapy:Answer by Edwin McCravy(20056) (Show Source):
First we find x, the distance from the top of the tree to the ground:
Using the smaller right triangle on the left:
Cross-multiply
Then, using the large right triangle:
Rounding to the nearest degree, about 34o
Edwin
You can put this solution on YOUR website! The trunk of a leaning tree makes an angle of 12 degrees with the vertical. To prevent the tree form falling
over a 35 m rope is attached to the top of the tree and pegged into the ground some distance away (assume
the ground is level). If the tree is 20 m tall what angle does the rope make with the ground?
Use the law of sines
In this case, we have:
OR
------ Cross-multiplying
