Solve 25sin60/5*10^-4

$$\frac { 25 \sin 60 } { 5 \times 10 ^ { - 4 } }$$

Evaluate

$$25000\sqrt{3}\approx 43301.270189222$$

Solution Steps

Cancel out 5 in both numerator and denominator.

$$\frac{5\sin(60)}{10^{-4}}$$

Get the value of \sin(60) from trigonometric values table.

$$\frac{5\times \frac{\sqrt{3}}{2}}{10^{-4}}$$

Express 5\times \frac{\sqrt{3}}{2} as a single fraction.

$$\frac{\frac{5\sqrt{3}}{2}}{10^{-4}}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{\frac{5\sqrt{3}}{2}}{\frac{1}{10000}}$$

Divide \frac{5\sqrt{3}}{2} by \frac{1}{10000} by multiplying \frac{5\sqrt{3}}{2} by the reciprocal of \frac{1}{10000}.

$$\frac{5\sqrt{3}\times 10000}{2}$$

Multiply 5 and 10000 to get 50000.

$$\frac{50000\sqrt{3}}{2}$$

Divide 50000\sqrt{3} by 2 to get 25000\sqrt{3}.

$$25000\sqrt{3}$$