Right-triangle lengths and angles

Right-triangle lengths and angles

Secondary 2

3 marks

TGM Original Questions

The legs are 9 cm and 12 cm; find the acute angle \(\alpha\) opposite the 12 cm side.[3]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:\(\tan\alpha=\dfrac{12}{9}\), so \(\alpha=\tan^{-1}\left(\dfrac{12}{9}\right)=53.1^\circ\).

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