Answer
0.9966
Work Step by Step
to solve the given problem formula required is
$\sin(LT_{1})\sin(LT_{2})+\cos(LT_{1})\cos(LT_{2})\cos(LN_{1}-LN_{2})$
to calculate $ LT_{1}$
$ LT_{1} = (21 +{\frac{53.896}{60}})^{\circ}$
$ LT_{1} = 21.8982^{\circ}$
$ LT_{1} = (21.8982 \times (\frac{\pi}{180}))$ radian
$ LT_{1} = 0.38$
other angles can be calculated in similar way
$ LT_{2} = 0.3441$
$ LN_{1} = 2.7856$
$ LN_{2} = 2.70611$
so from above value calculation
$\sin(0.38)\sin(0.3441)+\cos(0.38)\cos(0.3441)\cos(0.0796)$ =0.9966
thus the final answer is 0.9966
