The grade of the Maple Street is 12% find the angle of the street makes with the horizontal

Answer 1

To find the angle that Maple Street makes with the horizontal, we can use trigonometry.

Given that the grade (slope) of the street is 12%, we know that the ratio of the vertical change (rise) to the horizontal change (run) is 12:100, or 12/100.

Let's call the angle that Maple Street makes with the horizontal θ.

Using trigonometry, we know that the tangent of θ is equal to the ratio of the vertical change to the horizontal change.

So, tan(θ) = 12/100.

To find θ, we can use the inverse tangent function (tan⁻¹) on both sides of the equation:

θ = tan⁻¹(12/100).

Evaluating this expression, we find that the angle θ is approximately equal to 6.87 degrees.

Therefore, the angle that Maple Street makes with the horizontal is approximately 6.87 degrees.