## izzy777 3 years ago please helpppp!!! Robin pulls a rope attached to a sled with a force of 50 N. The rope makes an angle of 30° with the ground, as shown below. What force will move the sled vertically upwards? 183.4 N 25 N 43.3 N 100 N

1. izzy777

2. ganeshie8

50/sin 30

3. izzy777

wait i dont get it?

4. ganeshie8

by applying 50N at an angle of 30 degrees, the sled is sliding horizontally, right ?

5. izzy777

yes

6. ganeshie8

so, if we apply the same force vertically, the slide will move up vertically

7. ganeshie8

|dw:1340941337117:dw|

8. ganeshie8

so, we need to calculate the value of "x" for which the vertical component becomes "50"

9. ganeshie8

use trigonometry and find..

10. izzy777

i don't know how to solve it...

11. izzy777

im so confused

12. ganeshie8

see the angle 30 once. can you tell whats the opposite side for that angle ?

13. izzy777

well one of the angles = 90 degrees the other one has to be60

14. ganeshie8

|dw:1340941561296:dw|

15. ganeshie8

$$\huge sin\ 30 = \frac{50}{x}$$

16. ganeshie8

$$\huge x = \frac{50}{sin\ 30} = 100N$$

17. ganeshie8

hope it is clear now... ?

18. izzy777

yes! i think i get it now :) thank you so much can you help me with one more question?

19. ganeshie8

sure..

20. izzy777

A force of 8 N is exerted on a box. The component of this force which acts along the ground has a magnitude of 6.93 N, as shown below. What is the measure of angle x? 40° 50° 60° 30°

21. izzy777

22. ganeshie8

use cosine

23. izzy777

?

24. ganeshie8

cos x = adj/hyp = 6.93/8 x = cos^-1(6.93/8) degrees