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chubhunter [2.5K]
2 years ago
15

(PLSS HELPP!!) A barge is being towed by two tugboats, using ropes with force vectors as shown.

Mathematics
1 answer:
kakasveta [241]2 years ago
3 0

The angle between the ropes is 58 degree , Option C is the right answer.

<h3>What is a Vector ?</h3>

Vector is an object that has both magnitude and direction.

It is given in the question that

\rm F_1 = 10000i +6000j\\F_2 = 13500 i -7000j\\

The angle between the ropes can be calculated as

\overrightarrow F_1 *  \overrightarrow F_2 = |F_1| *|F_2| cos \theta

\rm F_1 = \sqrt{10000^2 + 6000^2}\\\\F_2 = \sqrt{ 13500^2 + 7000^2}

\rm F_1\\ = 11662

\rm F_2 = 15207

\overrightarrow F_1 *  \overrightarrow F_2 = (11662 * 15207)\; cos \theta

\overrightarrow F_1 *  \overrightarrow F_2 = 93000000

93000000 = 11662 * 15207 cos \rm \theta

cos \rm \theta =0.524

\rm \theta = 58.37 degree

The angle between the ropes is 58 degree , Option C is the right answer.

To know more about Vector

brainly.com/question/13322477

#SPJ1

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