SOLUTION: Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks weighing over 96000 pounds each. Lifting a single stone required 550 people, who pulled the stone

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Question 177267This question is from textbook
: Stonehenge in Salisbury Plains, England, was constructed using solid stone blocks weighing over 96000 pounds each. Lifting a single stone required 550 people, who pulled the stone up a ramp inclined at an angle of 9°. To the nearest tenth, approximate the distance that a stone was moved along the ramp in order to raise it to a height of 31 feet. This question is from textbook

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Think of the ramp as a right triangle in which the hypotenuse is the ramp's slope up which the 96000-lb block of stone is to be hauled.
The height (h) of this triangle is the height to which the block is to be raised.
The height is opposite to the angle of 9 degrees, so you can use the sine function to solve this problem and you are trying to find the length of the hypotenuse (c).
sin%289%29+=+h%2Fc Substitute h = 31 ft.
sin%289%29+=+31%2Fc Multiply both sides by c.
c%2Asin%289%29+=+31 The sine 0f 9 degrees is 0.156, so...
c%280.156%29+=+31 Divide both sides by 0.156
h+=+198.7179 Round to nearest tenth.
h+=+198.7 feet.