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REY [17]
3 years ago
9

Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t

wo ropes is 86 degrees. The angle of elevation of one rope is 42 degrees. How long is each rope..Step by Step explanation..Please ..Thanks.

Mathematics
1 answer:
qaws [65]3 years ago
4 0

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

\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}

Step 4 :

By putting values, we have

\frac{a}{sine 52} = \frac{b}{sine 42} = \frac{12.192}{sine 86}

Step 5 : Calculating a and b

a = 12.192 * \frac{sine 52}{sine 86}   ,   b = 12.192 * \frac{sine 42}{sine 86}      

Step 6 :

By putting values of all sine and calculating we get,

a = 9.63 meters and b = 8.178 meters                                

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