Answer:
The end of the stencil is located at (8, -1)
Step-by-step explanation:
The given parameters are;
Location of the beginning of the left edge of the stencil = (-1, 2)
Location of the detail = (2, 1)
Ratio of detail distance from beginning to detail to distance from beginning to stencil end = 1:2
Distance from beginning to detail = √((-1 - 2)² + (2 - 1)²) = √10
Given that the ratio of the length of the detail to the length of the end after the detail is 1:2 therefore;
√10:Length of stencil side = 1:2
Distance from detail to stencil end = 2×√10
Which gives;
Slope of line = tan⁺¹((2 - 1)/(-1 - 2)) = tan⁺¹(-1/3) = -18.435°
x-coordinates of the end of the stencil = 2√10 × cos(-18.435°) + 2 = 8
y coordinates of the end of the stencil = 2√10 × sin(-18.435°) + 1 = -1
The coordinates of the end of the stencil = (8, -1)
