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2 years ago

Find the indicated side of the right triangle

Mathematics

1 answer:

Olenka [21]2 years ago

5 0

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:x = 3\sqrt3$

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$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: \tan(60) = \cfrac{x}{3}$

$\qquad \tt \rightarrow \: \sqrt{3} = \dfrac{x}{3}$

$\qquad \tt \rightarrow \: x = 3 \sqrt{3}$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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Step-by-step explanation:

The missing options are:

$A. (33 - x) = \frac{1}{3} * 135.2\\\\B. (\frac{1}{3} *33) - \frac{1}{3} x = \frac{1}{3} * 135.2\\\\C.(\frac{1}{3} * 33) - \frac{1}{3} x = 135.2\\\\D. (\frac{1}{3} * 33) + \frac{1}{3} x = 135.2$

In order to solve this exercise you need to remember the following:

1. The Distributive property states that:

$a(b+c)=ab+ac\\\\a(b-c)=ab-ac$

2. The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-$

In this case the exercise gives you the following equation:

$\frac{1}{3}(33-x)=135.2$

Since you need to solve for the variable "x" in order to find its value, the first step you must apply in the in the procedure is to eliminate the parentheses applying the Distributive property.

Then, you must multiply everyting inside the parentheses by $\frac{1}{3}$ .