Higher November 2022 Unit 1 Q8

(a) Which complete method, using Pythagoras’s Theorem, can be used to find \(x\)?
Circle your answer. [1]

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\(x = 25^2 + 10^2\)    \(x = \sqrt{25^2 + 10^2}\)    \(x = 25^2 - 10^2\)

\(x = \sqrt{25^2 - 10^2}\)    \(x = \sqrt{(25 - 10)^2}\)

(b) Which of the following calculations can be used to find \(y\)?
Circle your answer. [1]

Diagram not drawn to scale

\(\sin 25^\circ = y \times 40\)    \(\sin 40^\circ = \dfrac{25}{y}\)    \(\sin 25^\circ = \dfrac{y}{40}\)

\(\sin 40^\circ = \dfrac{y}{25}\)    \(\sin 40^\circ = y \times 25\)