Find total displacement. 10 points. Will give brainliest!

20.5 m North East.

Explanation:

The attached photo gives the illustration of Alan's walk.

In the attached photo, d is the total displacement of Alan's walk.

Thus, we can obtain the value of by using the cosine rule as shown:

Angle D = 138°

Side opposite D = d

Side opposite C = 12 m

Side opposite E = 10 m

d² = c² + e² – 2ce Cos D

d² = 12² + 10² – 2 × 12 × 10 × Cos 138°

d² = 144 + 100 – 240 × Cos 138°

d² = 244 – – 178.355

d² = 244 + 178.355

d² = 422.355

Take the square root of both side

d = √422.355

d = 20.5 m.

Since his new position is on a bearing of 042°, Alan' total displacement is 20.5 m North East.

are their multiple choices ?

explanation:

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards