Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100° respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Question

anonymous · Answer

@satellite73 @ganeshie8 @myininaya @jim_thompson5910

dumbcow · Answer

the resultant force is the sum of each of the components:
$$R = <25\cos 10 + 30 \cos 100, 25\sin 10 +30\sin 100>$$
magnitude:
$$|R| = \sqrt{x^2 +y^2}$$
direction:
$$\tan \theta = \frac{y}{x}$$

anonymous · Answer

but how do you know exactly which terms were which? Thats kinda what im more confused on than anything lol

dumbcow · Answer

cos deals with horizontal force

sin deals with vertical force

anonymous · Answer

okay so would i find the cos of 10 and multiply by 25...
then do the same for "30cos100" then add them for the x variable? or would i do cos/sin^-1

anonymous · Answer

im not quite sure how to do this :/

dumbcow · Answer

yes, first option

vector notation is <x,y>

anonymous · Answer

okay so thats all i would do? doesnt that come out to be a decimal though?

dumbcow · Answer

yes it says to round to 2 decimals

anonymous · Answer

ooooo I didnt know that was referring to the variables... so I should get....

x= 19.41
y= 33.88 ?

anonymous · Answer

Is this right?

anonymous · Answer

@myininaya

anonymous · Answer

@ash2326

anonymous · Answer

@AccessDenied @Ashleyisakitty