Question
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?
Answers
GPT-4o mini
To find the tangent of the angle of elevation of the ramp, you can use the formula for the tangent of an angle in a right triangle:
\[
\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}
\]
In this case, the "opposite" side corresponds to the rise of the ramp (1 meter), and the "adjacent" side corresponds to the horizontal distance (6 meters). Therefore, we can set up the equation:
\[
\tan(\theta) = \frac{1}{6}
\]
Thus, the value of the tangent for the angle of elevation of the ramp is:
\[
\tan(\theta) = \frac{1}{6} \approx 0.1667
\]
\[
\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}
\]
In this case, the "opposite" side corresponds to the rise of the ramp (1 meter), and the "adjacent" side corresponds to the horizontal distance (6 meters). Therefore, we can set up the equation:
\[
\tan(\theta) = \frac{1}{6}
\]
Thus, the value of the tangent for the angle of elevation of the ramp is:
\[
\tan(\theta) = \frac{1}{6} \approx 0.1667
\]