Question
Work out \( 7 \tan 18^{\circ} \) rounded to 1 d.p.
Ask by Burns Hills. in the United Kingdom
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 7 \tan 18^{\circ} \approx 2.3 \)
Solution
To calculate \( 7 \tan 18^{\circ} \) and round it to one decimal place:
1. **Find the tangent of 18 degrees:**
\[
\tan(18^{\circ}) \approx 0.3249
\]
2. **Multiply by 7:**
\[
7 \times 0.3249 \approx 2.2743
\]
3. **Round to one decimal place:**
\[
2.2743 \approx 2.3
\]
**Final Answer:** \( 2.3 \)
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Simplify this solution The Deep Dive
To calculate \( 7 \tan 18^{\circ} \), we first need to find the value of \( \tan 18^{\circ} \). Using a calculator or a trigonometric table, we find: \[ \tan 18^{\circ} \approx 0.3249 \] Now, we can multiply this by 7: \[ 7 \tan 18^{\circ} \approx 7 \times 0.3249 \approx 2.2743 \] Rounding this to one decimal place, we get: \[ 7 \tan 18^{\circ} \approx 2.3 \] Thus, the final answer is: \[ \boxed{2.3} \]
