Chapter 4 - Review Exercises - Page 644: 38

$42$ mm

Work Step by Step

The trigonometric ratios are as follows: $\sin \theta= \dfrac{opposite}{hypotenuse}$ ; $\cos \theta= \dfrac{Adjacent}{hypotenuse}$ and $\tan \theta= \dfrac{Opposite}{Adjacent}$ Since, $\theta=23^{\circ}$ Then $\tan 23^{\circ}= \dfrac{a}{100}$ So, $a =100 \times \tan 23^{\circ}$ Our required answer is: $a \approx 42$ mm

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