Draw a diagram. If we let
T be the top of the mast
O be the base of the mast
P,Q be attachment points of two wires (PQ forms one side of the base of the triangle on the ground)
M be the midpoint of PQ
OV = 1
PV = 2
so, OP = √3
triangle MOP is a 30-60-90 right triangle, so
OP = √3
OM = √3/2
MP = 3/2
in right triangle MVP,
MP = 3/2
PV = 2
We want the angle PVQ=θ, and
sin θ/2 = MP/PV = 3/4
A vertical radio mast is supported by 3 equal
wires.One end of each wire is fixed to the top
of the mast and the other ends form an
equilateral triangle on horizontal ground.If the
length of each wire is twice the height of the
mast,find the angle btw any two adjacent wire?
Show solution ste
2 answers
Tis the top of the mast
4 answers