Precalculus Examples

$\tan (70) = \frac{62}{a}$

Step 1

Rewrite the equation as $\frac{62}{a} = \tan (70)$ .

$\frac{62}{a} = \tan (70)$

Step 2

Evaluate $\tan (70)$ .

$\frac{62}{a} = 2.74747741$

Step 3

Find the LCD of the terms in the equation.

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Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$a, 1$

The LCM of one and any expression is the expression.

$a$

Step 4

Multiply each term in $\frac{62}{a} = 2.74747741$ by $a$ to eliminate the fractions.

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Multiply each term in $\frac{62}{a} = 2.74747741$ by $a$ .

$\frac{62}{a} a = 2.74747741 a$

Simplify the left side.

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Cancel the common factor of $a$ .

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Cancel the common factor.

$\frac{62}{a} a = 2.74747741 a$

Rewrite the expression.

$62 = 2.74747741 a$

Step 5

Solve the equation.

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Rewrite the equation as $2.74747741 a = 62$ .

$2.74747741 a = 62$

Divide each term in $2.74747741 a = 62$ by $2.74747741$ and simplify.

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Divide each term in $2.74747741 a = 62$ by $2.74747741$ .

$\frac{2.74747741 a}{2.74747741} = \frac{62}{2.74747741}$

Simplify the left side.

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Cancel the common factor of $2.74747741$ .

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Cancel the common factor.

$\frac{2.74747741 a}{2.74747741} = \frac{62}{2.74747741}$

Divide $a$ by $1$ .

$a = \frac{62}{2.74747741}$

Simplify the right side.

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Divide $62$ by $2.74747741$ .

$a = 22.56615452$