Help with this A toelwn Y is 200km from x in a direction 040° how far is y east x
200 sin40
sin40 = d/200.
d = 200*sin40.
To find the distance of Y east of X, we need to use trigonometry.
First, let's understand the given information:
- The distance between X and Y is 200 km.
- The direction from X to Y is 040°.
Now, to find the eastward distance, we can use the concept of a right triangle. Let's assume that "d" represents the eastward distance from X to Y.
In a right triangle, the adjacent side represents the eastward direction. By using trigonometric functions, we can relate the angle and sides of the triangle. In this case, the adjacent side is the eastward distance (d), and the hypotenuse is the total distance between X and Y (200 km).
To find the eastward distance (d), we can use the cosine function:
cos(θ) = adjacent/hypotenuse
In this case, θ represents the angle 040°.
Substituting the given values into the formula:
cos(40°) = d/200
Now, solve for the eastward distance (d):
d = cos(40°) * 200
Calculating this, we find:
d ≈ 153.88 km
Therefore, Y is approximately 153.88 km east of X.