Question

How to round to 4 decimal places using calculator with the given number of tan 30

Answer 1

`\Large\maltese\underline{\textsf{Our problem:}}`

What is the tangent of 30, rounded to 4 decimal places?

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`\Large\maltese\underline{\textsf{This problem has been solved!}}`

First, let's focus on this phrase - "tan 30"

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What in the world could that possibly mean?

"tan" is the tangent, which is one of the six trig ratios.

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The simplest way to find the tangent of 30 degrees is ... with a calculator!

`\bf tan\quad 30 \approx 0.5774`

The answer has been rounded to 4 decimal places, like you asked.

Since the fifth decimal place was more than 5, I added 1 to the fourth decimal place - 0.5774, and not 0.5773.

`\rule{300}{1.7}`

`\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day!`

~
`\boxed{\bf aesthetic\;\\ot{101}}`~

Answer 2

0.5774

Explanation:

1) Input tan(30) into a calculator to get 0.5773502692...

2) To count 4 decimal places, we start after the decimal point. This means that we end it at the first 3. Additionally, we round 3 up to 4 because of the digit after it which is 5.