SOLUTION: What is the original height of a tree before it fell if it forms a 30-60-90 triangle with a leg length of 97 inches?
Algebra.Com
Question 698344: What is the original height of a tree before it fell if it forms a 30-60-90 triangle with a leg length of 97 inches?
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!
Since we are given that it is a 30-60-90 right triangle, this should be a quick problem!
In any given 30-60-90 right triangle, we have a certain relationship between the legs.
One relationship, is that the hypotenuse is always equal to 2 times the shortest leg.
Also, we know that the longer leg is always equal to the shorter leg times the square root of 3.
So, since we know the short leg is 97 inches (because it is NOT the height),
then we know that the height of the tree is inches,
which is about 168 inches almost exactly.
I hope this helps! Keep practicing! :)
*******************************************************
Please visit the new all-ages Neat Math Facebook Page: www.facebook.com/neatmath
to find math links or to post questions and comments on many math topics.
Email Scott King: neatmath@yahoo.com for help with specific problems,
or to inquire about income sensitive, low-cost or no-cost mathematics tutoring via email or other methods.
Paypal is always accepted for detailed assistance with single problems, send contributions to: neatmath@yahoo.com
Single problems would range from 50 cents to 5 dollars each, depending on their complexity.
Assistance for single problems can be done via email with scans or photos to help illustrate concepts.
Thank you and good luck with all your future studies!
RELATED QUESTIONS
A flag is in the shape of a 30°-60°-90° triangle. The shorter leg has a length of 10... (answered by tommyt3rd)
If the longer leg of a 30, -60, -90 degree triangle is 6, what is the length of the... (answered by scott8148)
What is the length of the short leg of a 30 60 90 triangle if the hypotenuse is... (answered by Alan3354)
The longer leg of a 30 -60 -90 triangle is 18. What is the length of the longer... (answered by josmiceli)
The shorter leg of a 30°-60°-90° triangle measures 10 in. What is the length of the... (answered by josmiceli)
Find the length of the longest leg of a 30-60-90 triangle whose hypotenuse is 8 inches... (answered by fractalier)
The length of the shorter leg of a 30°-60°-90° triangle is equal to 6 inches. What is the (answered by Alan3354)
A 30-60-90 triangle has a long leg of length 22. What is the area of this right... (answered by edjones)
If the shorter leg of a 30-60-90 triangle is 10 inches how big is the shortest... (answered by rapaljer)