Solve (80-68)div2/tan(7)

$$\frac{ (80-68) \div 2 }{ \tan ( 7 ) }$$

Evaluate

$$\frac{30000000000000000}{613922804514523}\approx 48.866078568$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(80 - 68)} / 2}{0.1227845609029046}$$

Express \frac{\frac{80-68}{2}}{0.1227845609029046} as a single fraction.

$$\frac{80-68}{2\times 0.1227845609029046}$$

Subtract 68 from 80 to get 12.

$$\frac{12}{2\times 0.1227845609029046}$$

Multiply 2 and 0.1227845609029046 to get 0.2455691218058092.

$$\frac{12}{0.2455691218058092}$$

Expand \frac{12}{0.2455691218058092} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{120000000000000000}{2455691218058092}$$

Reduce the fraction \frac{120000000000000000}{2455691218058092} to lowest terms by extracting and canceling out 4.

$$\frac{30000000000000000}{613922804514523}$$

Factor

$$\frac{3 \cdot 2 ^ {16} \cdot 5 ^ {16}}{145942723 \cdot 7 ^ {2} \cdot 293 ^ {2}} = 48\frac{531705383302896}{613922804514523} = 48.86607856784756$$