Question 964784
{{{cos(x-y)=cos(x)cos(y)+sin(x)sin(y)}}}
So,
{{{sqrt(7^2+24^2)=25}}}
{{{7cos(x)+24sin(x)=25((7/25)cos(x)+(24/25)sin(x))}}}
{{{cos(y)=7/25}}}
{{{sin(y)=24/25}}}
{{{7cos(x)+24sin(x)=25(cos(y)cos(x)+cos(y)sin(x))}}}
{{{7cos(x)+24sin(x)=25cos(y-x)}}}
The first positive value of x is when,
{{{x=y}}}
{{{x=cos^(-1)(7/25)}}}
{{{x=73.7}}}{{{degrees}}} or {{{x=1.29}}}{{{rad}}}