Answer:
The length of gondola ride is 1654 feet.
Explanation:
Given,
Angle of elevation from bottom of a scenic gondola ride to the top of mountain = 26
Vertical distance from the bottom to top of mountain = 725 feet
We need to find length of gondola ride.
By using trigonometric relation,
SinΘ =

Here, Perpendicular is the vertical distance and is equal to 725 feet
Θ is the angle of elevation and is equal to 26
And hypotenuse is the length of gondola ride.
So,
Sin26 =

Hypotenuse =

Hypotenuse = 1653.84 ≈ 1654 feet
Hence, the length of gondola ride is 1654 feet.