Math  /  Trigonometry

QuestionRight Mangles and Tigonometry Uncerstanaing tilgonometric ratios through sinilar right triangles escute angles 27,2 , and X\angle X are all approximately measured to be 23.1. we side lengths for each triangle are as follows. Note that the triangles are not drawn to scale. (a) For each triangle, find the ratio of the length of the side opposite 23.123.1^{\circ} to the length of the side adjacent to 23.123.1^{\circ}. Note that "side adjacent" cannot also refer to the hypotenuse. Round your answers to the nearest hundredth. KLJK=\frac{K L}{J K}= \square \square QRPQ=YZXY=\frac{Q R}{P Q}=\square \quad \frac{Y Z}{X Y}= \square (b) Use the ALFKS Calculator to find sin23.1,cos23.1\sin 23.1^{\circ}, \cos 23.1^{\circ}, and tan23.1\tan 23.1^{\circ}. Round your answers to the nearest hundredth. sin23.1=\sin 23.1^{\circ}= \square cos23.1=\cos 23.1^{\circ}= \square tan23.1=\tan 23.1^{\circ}= \square (c) Which trigonometric function gives each ratio of sides in part (a)? sine cosine tangent none of these Explanation Check

Studdy Solution
(a) The ratios are approximately **0.43** for all triangles. (b) sin(23.1)0.39\sin(23.1^\circ) \approx 0.39, cos(23.1)0.92\cos(23.1^\circ) \approx 0.92, and tan(23.1)0.43\tan(23.1^\circ) \approx 0.43. (c) The trigonometric function is the **tangent**.

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