Solve 27/60*111319.5*cos(45^circ)

$$\frac { 27 } { 60 } \times 111319.5 \times \cos ( 45 ^ { \circ } )$$

Evaluate

$$\frac{2003751\sqrt{2}}{80}\approx 35421.647997733$$

Solution Steps

Reduce the fraction \frac{27}{60} to lowest terms by extracting and canceling out 3.

$$111319.5\times \frac{9}{20}\cos(45)$$

Multiply 111319.5 and \frac{9}{20} to get \frac{2003751}{40}.

$$\frac{2003751}{40}\cos(45)$$

Get the value of \cos(45) from trigonometric values table.

$$\frac{2003751}{40}\times \frac{\sqrt{2}}{2}$$

Multiply \frac{2003751}{40} times \frac{\sqrt{2}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2003751\sqrt{2}}{40\times 2}$$

Multiply 40 and 2 to get 80.

$$\frac{2003751\sqrt{2}}{80}$$