Solve 562*tan25^circ/104

$$\frac { 562 \times \tan 25 ^ { \circ } } { 104 }$$

Evaluate

$$\frac{655162259707773033}{260000000000000000}\approx 2.519854845$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{562 \cdot 0.4663076581549986}{104}$$

Multiply 562 and 0.4663076581549986 to get 262.0649038831092132.

$$\frac{262.0649038831092132}{104}$$

Expand \frac{262.0649038831092132}{104} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{2620649038831092132}{1040000000000000000}$$

Reduce the fraction \frac{2620649038831092132}{1040000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{655162259707773033}{260000000000000000}$$

Factor

$$\frac{3 \cdot 271 \cdot 281 \cdot 38183 \cdot 75107267}{13 \cdot 2 ^ {17} \cdot 5 ^ {16}} = 2\frac{1.3516225970777305 \times 10^{17}}{2.6 \times 10^{17}} = 2.5198548450298963$$