Solve tan(15^circ)110*110/4.9*3.6*3.6*cos(15^circ)=

$$\frac{ \tan ( 15 ^ { \circ } ) 110 \cdot 110 }{ 4.9 \cdot 3.6 \cdot 3.6 \times \cos ( 15 ^ { \circ } ) } =$$

Evaluate

$$\frac{675455255920121806250}{12779198681804373609}\approx 52.855838049$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.2679491924311227 \cdot 110 \cdot 110}{4.9 \cdot 3.6 \cdot 3.6 \cdot 0.9659258262890683}$$

Multiply 0.2679491924311227 and 110 to get 29.474411167423497.

$$\frac{29.474411167423497\times 110}{4.9\times 3.6\times 3.6\times 0.9659258262890683}$$

Multiply 29.474411167423497 and 110 to get 3242.18522841658467.

$$\frac{3242.18522841658467}{4.9\times 3.6\times 3.6\times 0.9659258262890683}$$

Multiply 4.9 and 3.6 to get 17.64.

$$\frac{3242.18522841658467}{17.64\times 3.6\times 0.9659258262890683}$$

Multiply 17.64 and 3.6 to get 63.504.

$$\frac{3242.18522841658467}{63.504\times 0.9659258262890683}$$

Multiply 63.504 and 0.9659258262890683 to get 61.3401536726609933232.

$$\frac{3242.18522841658467}{61.3401536726609933232}$$

Expand \frac{3242.18522841658467}{61.3401536726609933232} by multiplying both numerator and the denominator by 10000000000000000000.

$$\frac{32421852284165846700000}{613401536726609933232}$$

Reduce the fraction \frac{32421852284165846700000}{613401536726609933232} to lowest terms by extracting and canceling out 48.

$$\frac{675455255920121806250}{12779198681804373609}$$

Factor

$$\frac{2 \cdot 20887 \cdot 42761716607 \cdot 5 ^ {5} \cdot 11 ^ {2}}{43 \cdot 3656111 \cdot 61440671 \cdot 3 ^ {3} \cdot 7 ^ {2}} = 52\frac{1.0936924466294187 \times 10^{19}}{1.2779198681804376 \times 10^{19}} = 52.855838048896345$$