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Finding the lengths and angles within a right-angled triangle using: pythagoras theorem, SOHCAHTOA and principle of angles adding up to 180 degrees.

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Using the right-angled triangle pictured below (not to scale), find the specified side lengths or angles using trigonometry and the given values.

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Give your answers to two decimal places.

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Before starting, check that your calculator is in degrees mode by verifying that $\\cos{60} = \\dfrac{1}{2}$.

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(If your calculator does not give this answer, press SHIFT $\\rightarrow$ SETUP $\\rightarrow$ 3 to enter degrees mode if using a Casio $fx$ model calculator, otherwise refer to your calculator's manual.)

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