Solve 4*10^-5*X*cos53^circ=6*10^-6

$$4 \times 10 ^ { - 5 } \times X \times \cos 53 ^ { \circ } = 6 \times 10 ^ { - 6 }$$

Solve for X

$$X=\frac{375000000000000}{1504537557880121}\approx 0.249246021$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$4 \cdot 10 ^ {-5} \cdot X \cdot 0.6018150231520484 = 6 \cdot 10 ^ {-6}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$4\times \frac{1}{100000}X\times 0.6018150231520484=6\times 10^{-6}$$

Multiply 4 and \frac{1}{100000} to get \frac{1}{25000}.

$$\frac{1}{25000}X\times 0.6018150231520484=6\times 10^{-6}$$

Multiply \frac{1}{25000} and 0.6018150231520484 to get \frac{1504537557880121}{62500000000000000000}.

$$\frac{1504537557880121}{62500000000000000000}X=6\times 10^{-6}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{1504537557880121}{62500000000000000000}X=6\times \frac{1}{1000000}$$

Multiply 6 and \frac{1}{1000000} to get \frac{3}{500000}.

$$\frac{1504537557880121}{62500000000000000000}X=\frac{3}{500000}$$

Multiply both sides by \frac{62500000000000000000}{1504537557880121}, the reciprocal of \frac{1504537557880121}{62500000000000000000}.

$$X=\frac{3}{500000}\times \frac{62500000000000000000}{1504537557880121}$$

Multiply \frac{3}{500000} and \frac{62500000000000000000}{1504537557880121} to get \frac{375000000000000}{1504537557880121}.

$$X=\frac{375000000000000}{1504537557880121}$$