Solve 0.7divtan(60^circ)

$$0.7 \div \tan ( 60 ^ { \circ } )$$

Evaluate

$$\frac{7\sqrt{3}}{30}\approx 0.404145188$$

Solution Steps

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

$$\frac{0.7}{\sqrt{3}}$$

Rationalize the denominator of \frac{0.7}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{0.7\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{0.7\sqrt{3}}{3}$$

Divide 0.7\sqrt{3} by 3 to get \frac{7}{30}\sqrt{3}.

$$\frac{7}{30}\sqrt{3}$$