Question 1205056



given:

 {{{A}}} and {{{B}}} are on opposite sides of a lake
{{{AC=b=83m}}}
angle {{{BAC}}} or angle {{{A= 99}}}°
angle {{{ACB}}}  or angle {{{C= 48}}}°

then angle {{{B =180-(99+ 48)=33}}}°


the law of sines states:

{{{a/sin(A)=b/sin(B)=c/sin(C)}}}

let's start with

{{{a/sin(A)=b/sin(B)}}}

{{{a/sin(99)=83/sin(33)}}}

{{{a=150.5}}}

then

{{{b/sin(B)=c/sin(C)}}}

{{{83/sin(33)=c/sin(48)}}}

{{{c=113.25}}}


 the distance from {{{A}}} to {{{B}}}, rounded to the nearest whole meter is {{{113m}}}