Respuesta :
Answer:
C. 1839 ft.
Step-by-step explanation:
The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.
sin 22 = 689 / h
h = 690 / sin 22
h = 1839.26 ft
The length of the Gondola ride is equal to 1839.26 ft
We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.
If the vertical distance from the bottom to the top of the mountain is 689 feet,
The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.
What is the ratio of sin?
[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]
Therefore we get,
sin 22 = 689 / h
h = 690 / sin 22
h = 1839.26 ft
The length of the Gondola ride is equal to 1839.26 ft.
To learn more about the angle of elevation visit:
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