SOLUTION: A guy wire is fastened 6 metres from the base of a flagpole and makes angle 30� with the ground. Determine the length of the guy wire and how far up the flagpole it is fastened.

Question 1115066: A guy wire is fastened 6 metres from the base of a flagpole and makes angle 30� with the ground. Determine the length of the guy wire and how far up the flagpole it is fastened.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
--
and
If r is the length of the guy wire (make drawing to see everything),
then

-----length of guy wire.
and Pythagorean theorem could be used for finding the height of pole...

Also recognize, the triangle formed is a special 30-60-90 right triangle. Long leg is 6 meters. Let x be the short leg (height of the flag pole). The wire is then 2x.

-

------height
-
-------guy wire
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A guy wire is fastened 6 metres from the base of a flagpole and makes angle 30� with the ground. Determine the length of the guy wire and how far up the flagpole it is fastened.
----
Sketch the picture.
You have a right triangle with base = 6 meters and base angle = 30 degrees.
----
cos(30) = base/hypotenuse
Ans: wire = hypotenuse = 6/cos(30) = 6/(sqrt(3)/2) = 12/sqrt(3) = 4*sqrt(3) ft
Ans:: sin(30) = height/hypotenuse
1/2 = height/4sqrt(3)
height = 2sqrt(3) ft
---------------------
Cheers,
Stan H.
----------
RELATED QUESTIONS
a wire supporting a pole is fastened to it 20 feet from the ground and to the ground 15... (answered by josgarithmetic)
A guy wire which is 14 m long is fastened from the ground to a pole 6.7 m above the... (answered by Alan3354)
A 50 foot tower is to be fastened by five guy wires attached to the top of the tower and... (answered by stanbon)
A guy wire connects to the top of a perpendicular telephone pole which is 45 ft high. The (answered by scott8148)
A flagpole is supported by a wire fastened 70 feet from its base. the wire is 14 feet... (answered by checkley77)
a flagpole is supported by a wire fastened 70 feet from its base. The wire is 14 feet... (answered by TimothyLamb)
hey, I need ASAP help with this if you could please answer each part detailed and clear... (answered by Theo)
A guy wire is anchored 12 feet from the base of a pole. The wire makes a 58 o angle with... (answered by Theo,MathTherapy,ikleyn)
A guy wire is 11.2m long. It supports a vertical power pole. The wire is fastened to the... (answered by Boreal)