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

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

Evaluate

$$\frac{108072840947219489}{2116800000000000}\approx 51.054819042$$

Solution Steps

Evaluate trigonometric functions in the problem

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

Multiply 0.2679491924311227 and 110 to get 29.474411167423497.

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

Multiply 29.474411167423497 and 110 to get 3242.18522841658467.

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

Multiply 4.9 and 3.6 to get 17.64.

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

Multiply 17.64 and 3.6 to get 63.504.

$$\frac{3242.18522841658467}{63.504}$$

Expand \frac{3242.18522841658467}{63.504} by multiplying both numerator and the denominator by 100000000000000.

$$\frac{324218522841658467}{6350400000000000}$$

Reduce the fraction \frac{324218522841658467}{6350400000000000} to lowest terms by extracting and canceling out 3.

$$\frac{108072840947219489}{2116800000000000}$$

Factor

$$\frac{20887 \cdot 42761716607 \cdot 11 ^ {2}}{2 ^ {15} \cdot 3 ^ {3} \cdot 5 ^ {11} \cdot 7 ^ {2}} = 51\frac{116040947219488}{2116800000000000} = 51.05481904158139$$