Solve 82*9.8/cos50^circ

$$\frac { 82 \times 9.8 } { \cos 50 ^ { \circ } }$$

Evaluate

$$\frac{4018000000000000000}{3213938048432697}\approx 1250.179667265$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{82 \cdot 9.8}{0.6427876096865394}$$

Multiply 82 and 9.8 to get 803.6.

$$\frac{803.6}{0.6427876096865394}$$

Expand \frac{803.6}{0.6427876096865394} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{8036000000000000000}{6427876096865394}$$

Reduce the fraction \frac{8036000000000000000}{6427876096865394} to lowest terms by extracting and canceling out 2.

$$\frac{4018000000000000000}{3213938048432697}$$

Factor

$$\frac{41 \cdot 2 ^ {16} \cdot 5 ^ {15} \cdot 7 ^ {2}}{37 \cdot 47 \cdot 79 \cdot 241 \cdot 10785773 \cdot 3 ^ {2}} = 1250\frac{577439459128750}{3213938048432697} = 1250.179667265027$$