Solve Deltay=(tan39.0^circ)(46.0m)

$$\Delta y = ( \tan 39.0 ^ { \circ } ) ( 46.0 m )$$

Solve for m

$$m=\frac{500000000000000y\Delta }{18625032763485161}$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\Delta y = 0.809784033195007 {(46.0 m)}$$

Multiply 0.809784033195007 and 46 to get 37.250065526970322.

$$\Delta y=37.250065526970322m$$

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

$$37.250065526970322m=\Delta y$$

The equation is in standard form.

$$37.250065526970322m=y\Delta$$

Divide both sides of the equation by 37.250065526970322, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{37.250065526970322m}{37.250065526970322}=\frac{y\Delta }{37.250065526970322}$$

Dividing by 37.250065526970322 undoes the multiplication by 37.250065526970322.

$$m=\frac{y\Delta }{37.250065526970322}$$

Divide \Delta y by 37.250065526970322 by multiplying \Delta y by the reciprocal of 37.250065526970322.

$$m=\frac{500000000000000y\Delta }{18625032763485161}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{18625032763485161m}{500000000000000\Delta }\text{, }&\Delta \neq 0\\y\in \mathrm{R}\text{, }&m=0\text{ and }\Delta =0\end{matrix}\right.$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\Delta y = 0.809784033195007 {(46.0 m)}$$

Multiply 0.809784033195007 and 46 to get 37.250065526970322.

$$\Delta y=37.250065526970322m$$

The equation is in standard form.

$$\Delta y=\frac{18625032763485161m}{500000000000000}$$

Divide both sides by \Delta .

$$\frac{\Delta y}{\Delta }=\frac{18625032763485161m}{500000000000000\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$y=\frac{18625032763485161m}{500000000000000\Delta }$$