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Work out \( 7 \tan 18^{\circ} \) rounded to 1 d.p.

Ask by Burns Hills. in the United Kingdom
Jan 23,2025

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\( 7 \tan 18^{\circ} \approx 2.3 \)

Solución

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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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: \[ \boxed{2.3} \]

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