Solve tan26^circ=h/x

$$\tan 26 ^ { \circ } = \frac { h } { x }$$

Solve for h

$$h=\frac{1524164339268317x}{3125000000000000}$$

$$x\neq 0$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.48773258856586144 = \frac{h}{x}$$

Multiply both sides of the equation by x.

$$0.48773258856586144x=h$$

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

$$h=0.48773258856586144x$$

Solve for x

$$x=\frac{3125000000000000h}{1524164339268317}$$

$$h\neq 0$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$0.48773258856586144 = \frac{h}{x}$$

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

$$0.48773258856586144x=h$$

Divide both sides of the equation by 0.48773258856586144, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.48773258856586144x}{0.48773258856586144}=\frac{h}{0.48773258856586144}$$

Dividing by 0.48773258856586144 undoes the multiplication by 0.48773258856586144.

$$x=\frac{h}{0.48773258856586144}$$

Divide h by 0.48773258856586144 by multiplying h by the reciprocal of 0.48773258856586144.

$$x=\frac{3125000000000000h}{1524164339268317}$$

Variable x cannot be equal to 0.

$$x=\frac{3125000000000000h}{1524164339268317}\text{, }x\neq 0$$