Final answer:
To find the missing variables, we can use the tangent (tan) function. Plugging in the given values and using the equation tan(θ) = y/x, we can solve for yo and yr. After rounding to the nearest tenth, yo ≈ 15.0 and yr ≈ 22.1.
Step-by-step explanation:
To find the missing variables, we need to use the given information and trigonometric functions. In this case, we can use the tangent (tan) function.
Using the equation tan(θ) = y/x, we can solve for yo and yr. Let's plug in the values:
tan(θ) = yo/yy
tan(49.46°) = yo/9.8
Solving for yo:
yo = tan(49.46°) * 9.8
Rounding to the nearest tenth, yo ≈ 15.0
Now, let's solve for yr:
tan(θ) = yr/y
tan(49.46°) = yr/15.0
Solving for yr:
yr = tan(49.46°) * 15.0
Rounding to the nearest tenth, yr ≈ 22.1