I'LL MARK YOU BRAINLIEST IF YOU ANSWER THIS CORRECTLY

x = 86

Step-by-step explanation:

note : a straight line is regarded to have an angle of 180 degrees.

in this case CUW is a straight line

I shall show you two methods . which ever one you choose will still get the same answer. however understanding both will help you use them for other questions

therefore in order to solve the value of x we need to get the missing angle in the triangle first which is angle WUV

notes : a triangle has a total angle of 180 degrees

hence we can create an equation to get the angle WUV

lets make the missing angle as Y , this will help to find the answer.

46 + Y + 40 = 180

now make Y the subject of formula

Y = 180 - 40 - 46

now in order to find x .

since the CUW is a straight line with 180 degrees

hence x = 180 - 94 = 86

since the triangles total angle is 180 degrees and also the straight line is also 180 degrees. we can just add the total of the 2 sides of the triangle ( the two interior angles can be added together to get the value of the exterior one)

40 + 46 = 86

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west