SOLUTION: A flagpole is supported by two guy wires on opposite sides. The wires are 35.3 feet and 36.9 feet long and anchored to the ground 56.9 feet apart. What angles do the wires make wit

Algebra.Com
Question 1035358: A flagpole is supported by two guy wires on opposite sides. The wires are 35.3 feet and 36.9 feet long and anchored to the ground 56.9 feet apart. What angles do the wires make with the ground?
Thank you so much :)

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
Perimeter of the triangle:
Along the ground:

Triangle Area: , or

Only one equation for that much, being .

The left and right side triangles each are Right triangles with height h.


Equating h^2:






Summarizing as a system of equations

-
What to do next is solve this system for L and r;
and then use simple trigonometry to find the angles asked. Cosines would be best.

RELATED QUESTIONS

A vertical pole is to be supported by three wires. Each wire is 26 feet long and is... (answered by wilft1)
a radio tower is supported by two wires on opposite sides. the wires form an angle of 60... (answered by ankor@dixie-net.com)
A flagpole is secured on opposite sides by two guy wires, each of which is 7 ft longer... (answered by Earlsdon)
A flagpole is secured on opposite sides by two guy wires, each of which is 5 ft. longer... (answered by Photonjohn)
A flagpole is secured on opposite sides by two guy wires, each of which is 6 ft longer... (answered by dabanfield)
A vertical pole is supported by four wires. Each of them is 13 meters long and anchored... (answered by lwsshak3)
Two parallel guy wires are attached to a vertical pole 4.5m and 5.4m above the... (answered by stanbon)
a 30-foot pole is supported by two wires that extend from the top of the pole to points... (answered by nerdybill)
a 20 ft pole is supported by two wires that extend from the top of the pole to points... (answered by KMST)