Solve 15*sin32^circ/sin46^circ

$$\frac { 15 \cdot \sin 32 ^ { \circ } } { \sin 46 ^ { \circ } }$$

Evaluate

$$\frac{79487889634980735}{7193398003386511}\approx 11.05011701$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{15 \cdot 0.5299192642332049}{0.7193398003386511}$$

Multiply 15 and 0.5299192642332049 to get 7.9487889634980735.

$$\frac{7.9487889634980735}{0.7193398003386511}$$

Expand \frac{7.9487889634980735}{0.7193398003386511} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{79487889634980735}{7193398003386511}$$

Factor

$$\frac{3 \cdot 5 \cdot 41 \cdot 4283 \cdot 11467 \cdot 2631649}{12973 \cdot 1616588749 \cdot 7 ^ {3}} = 11\frac{360511597729115}{7193398003386511} = 11.050117009730227$$