A ski resort is building a new ski lift that will transport tourists from the base of the mountain to its highest point. This mountain has a vertical height of 200 yards, and the ski lift will rise at an angle of 40 degrees. When the project is completed, how many yards, d, will a tourist travel from the base of the mountain to its peak? PART 1 which trigonometric ratio would be most helpful in solving for d?

Question

anonymous · Answer

Part 1) Using sine will be helpful. sin(40) = 200/d

imstuck · Answer

Here's your triangle|dw:1401864156135:dw|The trig function that relates the side opposite the angle to the hypotenuse is sin. Remember SOHCAHTOA?

imstuck · Answer

The side opposite the angle is 200, and the hypotenuse is what you are looking for (x).  So, sin(40) = 200/x.  solve for x.  Do you know how to do that?

anonymous · Answer

Yes thank you!