TMUA DPiD Maths Mock Set 1 Paper 1 · Question 19

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DPiD Maths Mock Set 1 Paper 1 · Q19

Paper 1Trigonometry

An ant starts at the origin, facing in the positive $x$ -direction. Each second, it moves $1$ unit forward, then turns counterclockwise by $\sin^{-1}\left(\frac5{13}\right)$ degrees. What is the least upper bound on the distance between the ant and the origin?

\sqrt{13}

\sqrt{26}

\frac{13}{5}

5

\frac{13}{2}

\sqrt{10}

2\sqrt{13}

\frac{26}{5}

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