Ropes are 9.63 meters ans 8.178 meters.
<u>Step-by-step explanation:</u>
Step 1 :
List all the given things
Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters
Angle between two ropes = 86 degrees
Angle of elevation of one rope = 42 degrees
Step 2 :
Two angles of triangle are already given so third angle can be calculated as -
Third angle = 180 - ( 86 + 42 ) = 52 degrees
Step 3 :
As we know all three angles we will apply sine rule now, which is
Step 4 :
By putting values, we have
Step 5 : Calculating a and b
,
Step 6 :
By putting values of all sine and calculating we get,
a = 9.63 meters and b = 8.178 meters
