SOLUTION: a radio tower is supported by two wires on opposite sides. the wires form an angle of 60 degree at the top of the post. On the ground, the ends of the wires are 17m apart, and one
Algebra.Com
Question 1041707: a radio tower is supported by two wires on opposite sides. the wires form an angle of 60 degree at the top of the post. On the ground, the ends of the wires are 17m apart, and one wire is at 45 degree to the ground. how long will the wires be?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a radio tower is supported by two wires on opposite sides.
the wires form an angle of 60 degree at the top of the post.
On the ground, the ends of the wires are 17m apart, and one wire is at 45 degree to the ground.
how long will the wires be?
:
Find the 3rd angle: 180 - 45 - 60 = 75 degrees
:
Let A = 45 degrees
Let B = 75 degrees
Let C = 60 degrees
:
Wire a is opposite angle A, 75 degrees
Wire b is opposite angle B, 45 degrees
c is opposite 60 degrees, given as 17 meters
:
Draw and label the triangle, it will be easy to understand
Using the law of sines
=
find the sines and cross multiply
.866a = 17 * .707
.866a = 12.021
a =
a = 13.88 meters is wire a
and
=
find the sines and cross multiply
.866b = 17 * .966
.866b = 16.42
b =
b = 18.96 meters is wire b
RELATED QUESTIONS
To secure a 500-meter radio tower against high winds, guy wires are attached to a ring 5... (answered by stanbon)
An 8 foot tree is supported by two wires that extend from the top of the tree to a point... (answered by solver91311)
A flagpole is supported by two guy wires on opposite sides. The wires are 35.3 feet and... (answered by josgarithmetic)
To secure a 525-meter radio tower against high winds, guy wires are attached to a ring on (answered by ankor@dixie-net.com)
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)
A pole of 47m height it supported by wires attached to its top at the point on level... (answered by ikleyn)
a 120 foot tall tower is to be erected on the side of the hill with a 6 degree angle from (answered by ikleyn)
An ariel mast is supported by four wires attached to pointa on the ground each 57 meters... (answered by josgarithmetic)