avelarreina9315 avelarreina9315
  • 05-04-2021
  • Mathematics
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Josie wants to build a slide that is 15 feet long. If the angle of elevation for the side will be 30 degree, how high in feet will the top of the slide be ?

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celiapanda1116 celiapanda1116
  • 05-04-2021

Answer: 7.5

Step-by-step explanation: draw a right triangle to represent the slide. the slide is 15 feet long, so the hypotenuse of the right triangle would be 15 feet. The angle from the bottom is 30 degrees according to the question. You want to find the angle opposite from the 30 degree angle so use sin(30). Sin=opposite/hypotenuse so sin(30)=x/15 sin(30) is 1/2 so 1/2=x/15. You multiply by 15 on both sides to get x by itself. 1/2*15=7.5

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