Question

Use tan,sin, or cos to find the value of the missing variables. Show your work and round to the length of the segments to the nearest tenth.

Answer 1

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