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13 votes
Can you please solve this for me urgently want to make sure if my answers are correct?

Can you please solve this for me urgently want to make sure if my answers are correct-example-1
User JonathanV
by
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1 Answer

20 votes
20 votes

Answer:

Resolving horizontally. :


\sum d_(x) = - (17.0 \cos 20.0) - (11.0 \cos 35.0) + (30.0 \cos 50.0) + 0 \\ { \underline{d _(x) = - 5.702 \: m}} \\ \\ \sum d _(y) = (17.0 \sin 20.0) + 12.0 - (11.0 \sin 35.0) - (30.0 \sin 50.0) \\ { \underline{d _(y) = - 11.476 \: m}}

therefore, for resultant:


d = \sqrt{ {d _(y) }^(2) + d _(x) {}^(2) }

substitute:


d = \sqrt{ {( - 5.702)}^(2) + {( - 11.476)}^(2) } \\ \\ d = √(164.211) \\ \\ { \boxed{ \boxed{ \bf{d = 12.8 \: m}}}}

User Exexzian
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