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

616 over 1

There is not enough information.
There is not enough information.

161 sixth

1
1

Answer 1

The tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side. In this case, the opposite side is the rise (1 meter) and the adjacent side is the run (6 meters).

So, the tangent (tan) of the angle of elevation can be calculated as follows:

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

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

161 sixth (which is \(\frac{1}{6}\)).