Respuesta :
The gondola will take about 11.3 minutes.
What is angle of elevation?
You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up.
The angle from horizontal to the point where you stopped your head is called angle of elevation. See the figure where angle DCE is the angle when Penelope saw the skyscraper. It is measured from the horizontal line DC.
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 the gondola to travel this distance,
we will divide the calculated distance by the speed,
Time = (1751.33 ft) / 155 ft/minute
Time = 11.3 minutes
Hence, the gondola will take about 11.3 minutes.
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