A wheelchair ramp rises 1 meter over a horizontal distance of 6 meters. What is the value of the tangent for the angle of elevation of the ramp?(1 point)

Question

Responses

16
1 sixth

1
1

61
6 over 1

There is not enough information.

Answer 1

To find the tangent of the angle of elevation of the ramp, we can use the formula for the tangent of an angle in a right triangle, which is the ratio of the opposite side to the adjacent side.

In this case:

• The opposite side (the rise) is 1 meter.
• The adjacent side (the run) is 6 meters.

So, the tangent \( \tan(\theta) \) is calculated as:

\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{1}{6} \]

Thus, the value of the tangent for the angle of elevation of the ramp is:

1 sixth.