contestada

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 of 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?

Respuesta :

taskmasters
We get the distance from the gondola ride to the top of the mountain by noting that this distance is the hypotenuse of the right triangle formed by the side of the mountain and the ground.
                         sin 31° = 902 ft / x
The value of x is equal to 1751.33 ft. 
To determine the amount of time it will take for gondola to travel this distance, we divide the calculated distance by the speed,
                      time = (1751.33 ft) / 155 ft/minute = 11.3 minutes
Thus, the gondola will take about 11.3 minutes. 
Parrain

Based on the angle of elevation from the bottom of the gondola ride to the top, the length of time the ride lasts is 11.3 minutes.

How long will the gondola take?

The angle of elevation will be used to find the distance the gondola will travel to the top.

The distance will be a hypotenuse with the vertical height and the distance to the mountain at ground level forming a right angled triangle:

Sin 31° = 902 ft / x

x ×Sin 31° = 902

x = 1,751.33 ft

The time taken will be:

= 1,751.33 / 155 ft per minute

= 11.30 minutes

Find out more on using the angle of elevation at https://brainly.com/question/2166644.

#SPJ5

Otras preguntas