Solve 84sin69^circ/sin26.67^circ

$$\frac { 84 \sin 69 ^ { \circ } } { \sin 26.67 ^ { \circ } }$$

Evaluate

$$\frac{1960518895644123570}{11221279222012781}\approx 174.714384773$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{84 \cdot 0.9335804264972017}{0.44885116888051124}$$

Multiply 84 and 0.9335804264972017 to get 78.4207558257649428.

$$\frac{78.4207558257649428}{0.44885116888051124}$$

Expand \frac{78.4207558257649428}{0.44885116888051124} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{7842075582576494280}{44885116888051124}$$

Reduce the fraction \frac{7842075582576494280}{44885116888051124} to lowest terms by extracting and canceling out 4.

$$\frac{1960518895644123570}{11221279222012781}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 269 \cdot 4957941723299 \cdot 7 ^ {2}}{17 \cdot 4201 \cdot 157123363093} = 174\frac{8016311013899672}{11221279222012780} = 174.71438477336648$$