Solve 10/x=sin75^circ

$$\frac { 10 } { x } = \sin 75 ^ { \circ }$$

Solve for x

$$x = \frac{100000000000000000}{9659258262890683} = 10\frac{3407417371093160}{9659258262890684} \approx 10.352761804$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{10}{x} = 0.9659258262890683$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$10=0.9659258262890683x$$

Swap sides so that all variable terms are on the left hand side.

$$0.9659258262890683x=10$$

Divide both sides by 0.9659258262890683.

$$x=\frac{10}{0.9659258262890683}$$

Expand \frac{10}{0.9659258262890683} by multiplying both numerator and the denominator by 10000000000000000.

$$x=\frac{100000000000000000}{9659258262890683}$$