Question 1204983


{{{ drawing( 600, 600, -10, 10, -10, 10,
green(line(0,0.1,8,.1)),green(line(8,7.1,8,.1)),green(line(0.1,7,8,7)),
blue(line(0,0.1,8,7)),locate(6,6.5,53), locate(7,4,1209ft),locate(1,1,53), 
graph( 600, 600, -10, 10, -10, 10,0)) }}}

use the Law of Sine to find the length of hypotenuse {{{h}}}

{{{sin(53)=1209ft/h}}}

{{{h=1209ft/sin(53)}}}

{{{h=1209ft/0.7986355100472928}}}

{{{h=1513.8320107108768ft}}}

{{{h=1513.8ft}}}


Lisa must ski {{{1513.8ft}}} in order to reach the lodge.