The diagram illustrates a decorative lamp that is suspended from a ceiling by two strings. the first string is 43 centimeters long and makes a 50° angle with the horizontal. the second string is 35 centimeters long and makes a 70° angle with the horizontal. what is the distance between the points of suspension of the strings on the ceiling?
25.0 centimeters
38.3 centimeters
39.6 centimeters
42.4 centimeters

Third option is correct.

Step-by-step explanation:

since we have given that

Length of first string = 43 cm

Angle of elevation with the horizontal = 50°

Length of second string = 35 cm

Angle of elevation with the horizontal = 70°

We need to find the distance between the points of suspension of the strings on the ceiling .

WE will use "Cosine Law".

In ΔABC,

Similarly,

In ΔPCR,

So, Total distance between the points of suspension of the strings on the ceiling is given by

Hence, third option is correct.

the perimeter is increased by a factor of 2

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