STEP 1: find height $ h $

To find height $ h $ use formula:

$$ h = 2 \cdot r $$

After substituting $r = 12742\, \text{cm}$ we have:

$$ h = 2 \cdot 12742\, \text{cm} $$ $$ h = 25484\, \text{cm} $$

STEP 2: find angle $ \beta $

To find angle $ \beta $ use formula:

$$ \sin \left( \frac{ \beta }{ 2 } \right) = \dfrac{ h }{ d_2 } $$

After substituting $h = 25484\, \text{cm}$ and $d_2 = 13542\, \text{cm}$ we have:

$$ \sin \left( \frac{ \beta }{ 2 } \right) = \dfrac{ 25484\, \text{cm} }{ 13542\, \text{cm} } $$ $$ \sin \left( \frac{ \beta }{ 2 } \right) = \frac{ 12742 }{ 6771 } $$ $$ \frac{ \beta }{ 2 } = \arcsin\left( \frac{ 12742 }{ 6771 } \right) $$

$ \arcsin(1.882) $ is not defined $ \Longrightarrow $ The problem has no solution.

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