System of nonlinear equations

I have tried the following code to solve a system of nonlinear equations, but it does not return the correct result which can be found on Wolfram Alpha: https://www.wolframalpha.com/input/?i=10cos15+%28%28t%2B+%282%29%2845-10sin%2815%29t%29%2F%2810sin15%2Bsqrt%2819.6*%2845-10sin%2815%29t%29%29%29%29%29+%3D+40

Can anyone suggest how I should modify the code? I want to store the value of t in another variable r that can be used for later computations.

syms t y a
%b(1)  = 10*cos(15)*((t+ 2*(45-10*sin(15)*t)/(10*sin(15)+sqrt(19.62*(45-10*sin(15)*t)))))-40;
b(1)  = (10*cos(15)*((t+ 2*(45-10*sin(15)*t))))*power(( 10*sin(15)+sqrt(19.62*(45-10*sin(15)*t))),-1)-40;
z     = solve(b,t,y);
Xsoln = simplify(z.t);
subs(Xsoln,a)

r = a; 

Answer 1

[David Goodmanson]

Hi Aleem,

Wolfram Alpha is solving this numercially not analytiaclly so you might as well, too.

b  = @(t) 10*cosd(15)*(t+ 2*(45-10*sind(15)*t)/(10*sind(15)+sqrt(19.6*(45-10*sind(15)*t))))-40;
fzero(b,1)

ans = 
    1.4850

One important change here is that you have to use sind(theta) instead of sin(theta) since the angles are in degrees. Also I changed 19.62 to 19.6, otherwise the answer will disagree with Wolfram Alpha.

[Aleem Andrew]

Thank you

[darova]

Remember about accepting the answer

[David Goodmanson]

thank you darova and aleem