Question 177267
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(9) = h/c}}} Substitute h = 31 ft.
{{{sin(9) = 31/c}}} Multiply both sides by c.
{{{c*sin(9) = 31}}} The sine 0f 9 degrees is 0.156, so...
{{{c(0.156) = 31}}} Divide both sides by 0.156
{{{h = 198.7179}}} Round to nearest tenth.
{{{h = 198.7}}} feet.