SEU The sum of the angles of any triangle is 180. The relationship of the...

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SEU • The sum of the angles of any triangle is 180°. The relationship of the length of the sides of a right triangle to the number of degrees in its angles can be expressed as the sine, cosine, or tangent of a particular angle. The sine function is the relationship of the opposite side divided by the hypotenuse. ▪ The tangent function is the relationship of the opposite side divided by the adjacent side ■ The cosine function is the relationship of the adjacent side divided by the hypotenuse. • The hypotenuse is always the longest side of a right triangle. ▪ A simple saying that can be used to help remember the relationship of the trigonometric functions to the sides of a right triangle is Oscar Had A Heap Of Apples. ▪ Vectors are lines that indicate both magnitude and direction. ▪ Scalars indicate magnitude only. REVIEW QUESTIONS 1. Which trigonometric function is used to find the angle if the length of the hypo- tenuse and of the adjacent side are known? Refer to Figure 15-22 to answer the following questions. 2. If side A has a length of 18.5 ft and side B has a length of 28 ft, what is the length of the hypotenuse? 3. Side A has a length of 12 m, and angle Y is 12°. What is the length of side B 4. Side A has a length of 6 in. and angle Y is 45°. What is the length of the hypotenuse? 5. The hypotenuse has a length of 65 in., and side A has a length of 31 in. What is angle X? Hypotenus SEU • The sum of the angles of any triangle is 180°. The relationship of the length of the sides of a right triangle to the number of degrees in its angles can be expressed as the sine, cosine, or tangent of a particular angle. The sine function is the relationship of the opposite side divided by the hypotenuse. ▪ The tangent function is the relationship of the opposite side divided by the adjacent side ■ The cosine function is the relationship of the adjacent side divided by the hypotenuse. • The hypotenuse is always the longest side of a right triangle. ▪ A simple saying that can be used to help remember the relationship of the trigonometric functions to the sides of a right triangle is Oscar Had A Heap Of Apples. ▪ Vectors are lines that indicate both magnitude and direction. ▪ Scalars indicate magnitude only. REVIEW QUESTIONS 1. Which trigonometric function is used to find the angle if the length of the hypo- tenuse and of the adjacent side are known? Refer to Figure 15-22 to answer the following questions. 2. If side A has a length of 18.5 ft and side B has a length of 28 ft, what is the length of the hypotenuse? 3. Side A has a length of 12 m, and angle Y is 12°. What is the length of side B 4. Side A has a length of 6 in. and angle Y is 45°. What is the length of the hypotenuse? 5. The hypotenuse has a length of 65 in., and side A has a length of 31 in. What is angle X? Hypotenus

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0 3 L A Cos 0 17 Tan y A 185 B 28 hypotenuse A Tan 12 ... View the full answer