the track rises 1 foot for every 11 feet run. find the measure of the angle formed by the track and ground level

tanθ = 1/11

Tan0=1/11 is correct

To find the measure of the angle formed by the track and the ground level, we can use trigonometry. The given information tells us that the track rises 1 foot vertically for every 11 feet horizontally traveled along the ground.

We can consider this as a right triangle, where the vertical rise is the "opposite" side, the horizontal distance is the "adjacent" side, and the angle we need to find is the angle θ.

Using the tangent function, we have:
tan(θ) = opposite / adjacent

or in this case:
tan(θ) = 1 / 11

To find the angle θ, we can take the inverse tangent (also known as arctan or tan^(-1)) of 1/11:
θ = arctan(1/11)

Using a calculator or math software, you can find that θ ≈ 5.71 degrees.

Therefore, the measure of the angle formed by the track and ground level is approximately 5.71 degrees.