Solve 260^2/6.4*10^6*cos(56^circ)

$$\frac{ { 260 }^{ 2 } }{ 6.4 \times { 10 }^{ 6 } \times \cos ( 56 ^ { \circ } ) }$$

Evaluate

$$\frac{26406250000000}{1397982258676867}\approx 0.018888831$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(260)} ^ {2}}{6.4 \cdot {(10)} ^ {6} \cdot 0.5591929034707468}$$

Calculate 260 to the power of 2 and get 67600.

$$\frac{67600}{6.4\times 10^{6}\times 0.5591929034707468}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{67600}{6.4\times 1000000\times 0.5591929034707468}$$

Multiply 6.4 and 1000000 to get 6400000.

$$\frac{67600}{6400000\times 0.5591929034707468}$$

Multiply 6400000 and 0.5591929034707468 to get 3578834.58221277952.

$$\frac{67600}{3578834.58221277952}$$

Expand \frac{67600}{3578834.58221277952} by multiplying both numerator and the denominator by 100000000000.

$$\frac{6760000000000000}{357883458221277952}$$

Reduce the fraction \frac{6760000000000000}{357883458221277952} to lowest terms by extracting and canceling out 256.

$$\frac{26406250000000}{1397982258676867}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {13} \cdot 13 ^ {2}}{229 \cdot 6104726020423} = 0.01888883055282292$$