Solve 2.75/tan36^circ

$$\frac { 2.75 } { \tan 36 ^ { \circ } }$$

Evaluate

$$\frac{3437500000000000}{908178160006701}\approx 3.785050281$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2.75}{0.7265425280053608}$$

Expand \frac{2.75}{0.7265425280053608} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{27500000000000000}{7265425280053608}$$

Reduce the fraction \frac{27500000000000000}{7265425280053608} to lowest terms by extracting and canceling out 8.

$$\frac{3437500000000000}{908178160006701}$$

Factor

$$\frac{11 \cdot 2 ^ {11} \cdot 5 ^ {16}}{100908684445189 \cdot 3 ^ {2}} = 3\frac{712965519979897}{908178160006701} = 3.7850502812957276$$