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About Azeem Hussain
Expertise
I can answer virtually any kind of question dealing with of Math 536 and below, my forte being in parabolic functions and analytical geometry. I'm currently learning Linear Algebra, and cannot answer questions that deal with subject matter more advanced than that.

Experience
I am neither a professor nor a teacher of this subject. I am merely a student who is gifted at mathematics and enjoys being of service to his community. I frequently tutor people in math and the results are usually great.

Publications
Reflections, Riverside School Board (2005, 2006)

Education/Credentials
Diploma of Secondary Studies from Chambly Academy High School, and IBO-MYP certificate as well. My lowest mark on a high school math final was 97%, peaking at 99% in 2006 and 2007 (second-highest Math 436 mark in the province). Being a Quebecer, I am fluent in English and French and can respond to questions easily in both languages.

Awards and Honors
Pascal Math Competition, School Champion(2007)

 
   

You are here:  Experts > Science > Math for Kids > Geometry > Basic Trig - Tree

Geometry - Basic Trig - Tree


Expert: Azeem Hussain - 5/5/2009

Question
hi, can you please help me drawing and solving this problem. i tried but i don't think it is the right answer...

The trunk of a leaning tree makes an angle of 12 degree with the vertical. To prevent the tree from falling over, a 35m rope is attached to the top of the tree and is pegged into level ground some distance away.If the tree is 20m from its base to its top, calculate the angle the rope makes with the ground to the nearest degree.

I tried and i got 68 degree...please help me....

Answer
Hi Rabia!

This problem requires you to use basic trigonometry twice.  Begin by drawing your tree tilted at 12 degrees to the vertical.  Solve the height of the vertical.
cos12=v/20
v=(20)cos12

Now draw a new vertical from the tilted tree.  This height is v.  Draw in your rope.  This forms a right triangle with the ground, where the 35 m rope is the hypotenuse.  Set up the equation and solve for angle x
sinx=v/35
sinx=(20)cos12/35
x=33.98

ANSWER: The angle the rope forms with the ground is 33.98 degrees.

Thanks for asking,
Azeem


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