Answer:
0.5774
Step-by-step 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.
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
What is the tangent of 30, rounded to 4 decimal places?
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[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
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!
[tex]\bf tan\quad 30 \approx 0.5774[/tex]
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.
[tex]\rule{300}{1.7}[/tex]
[tex]\bf tan 30\approx 0.5574. \quad Hope\;you\;will\;have\;a\;fantabulous\;day![/tex]
~ [tex]\boxed{\bf aesthetic\;\not{101}}[/tex]~