Solve 1000/1.5*sin41.4^circ

$$\frac { 1000 } { 1.5 \times \sin 41.4 ^ { \circ } }$$

Evaluate

$$\frac{10000000000000000000}{9919677979854777}\approx 1008.097240687$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1000}{1.5 \cdot 0.6613118653236518}$$

Multiply 1.5 and 0.6613118653236518 to get 0.9919677979854777.

$$\frac{1000}{0.9919677979854777}$$

Expand \frac{1000}{0.9919677979854777} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{10000000000000000000}{9919677979854777}$$

Factor

$$\frac{2 ^ {19} \cdot 5 ^ {19}}{3 \cdot 37997 \cdot 87021589247} = 1008\frac{964596306385792}{9919677979854776} = 1008.0972406874845$$