Subjects geometry

Angle X F21Fe3

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1. **State the problem:** We need to find the angle $x^\circ$ in a right triangle with sides adjacent to the right angle measuring 6 units and 3.3 units. 2. **Identify the sides relative to angle $x$:** The side adjacent to angle $x$ is 3.3 units (side QP), and the side opposite angle $x$ is 6 units (side RQ). 3. **Use the tangent function:** For a right triangle, \( \tan(x) = \frac{\text{opposite}}{\text{adjacent}} \). 4. **Write the formula:** $$ \tan(x) = \frac{6}{3.3} $$ 5. **Calculate the ratio:** $$ \tan(x) = 1.8181\ldots $$ 6. **Find the angle $x$ by taking the arctangent:** $$ x = \tan^{-1}(1.8181) $$ 7. **Calculate the angle using a calculator:** $$ x \approx 61.3^\circ $$ 8. **Round to the nearest tenth:** The angle $x$ is approximately $61.3^\circ$. **Final answer:** $$ x \approx 61.3^\circ $$
QRP63.3