Solve 136*sin(24^circ)/sin(100^circ4^circ)

$$\frac{ 136 \times \sin ( 24 ^ { \circ } ) }{ \sin ( 100 ^ { \circ } 4 ^ { \circ } ) }$$

Evaluate

$$\frac{553161834583088204}{6427876096865393}\approx 86.056704617$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{136 \cdot 0.40673664307580015}{0.6427876096865393}$$

Multiply 136 and 0.40673664307580015 to get 55.3161834583088204.

$$\frac{55.3161834583088204}{0.6427876096865393}$$

Expand \frac{55.3161834583088204}{0.6427876096865393} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{553161834583088204}{6427876096865393}$$

Factor

$$\frac{17 \cdot 67 \cdot 8387 \cdot 14476442507 \cdot 2 ^ {2}}{6427876096865393} = 86\frac{364490252664394}{6427876096865393} = 86.05670461707284$$