A train traveled a distance of 1 mile, or 5,280 feet, while climbing a hill at an angle of 5°. The vertical height that the train climbed is approximately feet.

QUESTION POSTED AT 28/05/2020 - 11:20 PM

Answered by admin AT 28/05/2020 - 11:20 PM

Use the sin ratio to solve for this.  We are looking for the height which, in a right triangle, would be the side opposite the reference angle, and the hypotenuse. The ratio would look like this: sin(5) = x/5280.  Multiply both sides by 5280 to get 5280 sin(5) = x and x = 460.18 ft
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