Question

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

Answer 1

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}}}}`