Question
Solve for x. Round to 2 decimal places sin(63degrees) = x/18
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the equation \( \sin(63^\circ) = \frac{x}{18} \), we can start by isolating \( x \) on one side of the equation.
1. Multiply both sides of the equation by 18:
\[
x = 18 \sin(63^\circ)
\]
2. Now, we need to calculate \( \sin(63^\circ) \).
Using a calculator or trigonometric tables:
\[
\sin(63^\circ) \approx 0.8910
\]
3. Substitute this value back into the equation:
\[
x = 18 \times 0.8910 \approx 16.038
\]
4. Finally, round the answer to two decimal places:
\[
x \approx 16.04
\]
So the solution for \( x \) is approximately \( \boxed{16.04} \).
1. Multiply both sides of the equation by 18:
\[
x = 18 \sin(63^\circ)
\]
2. Now, we need to calculate \( \sin(63^\circ) \).
Using a calculator or trigonometric tables:
\[
\sin(63^\circ) \approx 0.8910
\]
3. Substitute this value back into the equation:
\[
x = 18 \times 0.8910 \approx 16.038
\]
4. Finally, round the answer to two decimal places:
\[
x \approx 16.04
\]
So the solution for \( x \) is approximately \( \boxed{16.04} \).
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