The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 31 degrees. if the vertical distance from the bottom to the top of the mountain is 902 feet and the gondola moves at a speed of 155 feet per minute, how long does the ride last? round to the nearest minute

The ride lasts 10 minutes.

Step-by-step explanation:

The triangle that is formed is attached.

In order to find out how long the ride lasts, we need to figure out the horizontal distance

From trigonometry we have:

Therefore

Now the amount of time the gondola ride lasts is equal to the distance divided by the speed of the gondola:

To the nearest minute this is 10 minutes.

ou would have 12 of each