Posted by Anonymous on Wednesday, April 25, 2012 at 11:27am.
An antenna is on a hill that makes a 5 degree angle with the horizon. The antenna is placed so that it is perpendicular to the horizon. A guy wire extends from the top of the antenna to a point 50 ft downhill from the base of the antenna. If the antenna is 25 ft tall, what is the length of the guy wire.

pre cal  Steve, Wednesday, April 25, 2012 at 12:09pm
As usual, draw a diagram.
Draw a horizontal line from the base of the wire to the base of the tower. (It will lie underground, but give you a right triangle to work with.)
If we label
T = top of tower
W = base of wire
B = base of tower
P = the point below the base of the tower where the horizontal line from B intersects.
Let u = BP
v = WP
u = 50sin5° = 4.36
v = 50cos5° = 49.81
wire length = √(v^2+(25+u)^2)
= √(49.81^2 + 29.36^2)
= 57.82
Answer This Question
Related Questions
 math  A guy wire is attached to the top of a radio antenna and to a point on ...
 Math (Triangles  (Angle of Elevation)  A television antenna is situated atop a...
 Pre calculus  A 100 foot tall antenna sits part way up a hill. The hill makes ...
 Pre calculus  A 100 foot tall antenna sits part way up a hill. The hill makes ...
 PRECALC! HELP ASAP!!  A television antenna sits on the roof. Two 78foot guy ...
 Pre calculus  A 100 foot tall antenna sits part way up a hill. The hill makes ...
 math(pre calc)  A 100 foot tall antenna sits part way up a hill. The hill makes...
 Physics  a television antenna is on the roof of the building. from a pt. on the...
 physics  a television antenna is on the roof of the building. from a pt. on the...
 Math  A 100 foot tall antenna sits part way up a hill. The hill makes an angle ...
More Related Questions