Question 389505
You have to imagine that you are starting at the bottom of the slope
and walking uphill with a tape measure. When the tape measure
reads 170 yds, you stop. Now you want to know how high vertically
you are from ground level where you started.
You knew before you started that the slope was 42 degrees.
I'll call the height I want to know {{{h}}}
I can say {{{sin (42) = h/170}}}
Multiply both sides by {{{170}}}
{{{h = 170*sin(42)}}}
{{{h}}} gives me the vertical height in yards where the tape measure reads 170 yds
I get about {{{113.75}}} yds