1. 8 4 Study Guide And Intervention Special Right Triangles Answers

Answers (Lesson 8-3) Answers (Lesson 8-3) Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Lesson 8-3 Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. NAME DATE PERIOD 8-3 Word Problem Practice Special Right Triangles 1. ORIGAMI A square piece of paper 150 millimeters on a side is folded in half along a diagonal.

8-3 Study Guide and Intervention Special Right Triangles. Leave your answers as radicals in simplest form. 1) a 22 b 45. Multi-Step Special Right Triangles Date. Reading Guide. Special Right Triangles. In an isosceles right triangle, each leg is opposite an angle with a measure of. 8-3 Study Guide and Intervention.

The result is a 45°-45°-90° triangle. What is the length of the hypotenuse of this triangle? 150 √ 2 mm 4. WINDOWS A large stained glass window is constructed from six 30°-60°- 90° triangles as shown in the figure. ESCALATORS A 40-foot-long escalator rises from the first floor to the second floor of a shopping mall.

The escalator makes a 30° angle with the horizontal. 3 m What is the height of the window?

4 √ 3 − m ≈ 2.31 m 3 40 ft? MOVIES Kim and Yolanda are watching a movie in a movie theater. Yolanda is sitting x feet from the screen and Kim is 15 feet behind Yolanda. 30° How high above the first floor is the second floor? HEXAGONS A box of chocolates shaped like a regular hexagon is placed snugly inside of a rectangular box as shown in the figure. 30° 45° 15 ft x ft The angle that Kim’s line of sight to the top of the screen makes with the horizontal is 30°. The angle that Yolanda’s line of sight to the top of the screen makes with the horizontal is 45°. Giancoli 4th edition solutions manual sitew com.

How high is the top of the screen in terms of x? What is − x + x 15? If the side length of the hexagon is 3 inches, what are the dimensions of the rectangular box? How far is Yolanda from the screen?

Round your answer to the nearest tenth. 20.5 ft Chapter 8 22 Glencoe Geometry NAME DATE PERIOD 8-3 Enrichment Constructing Values of Square Roots The diagram at the right shows a right isosceles triangle with two legs of length 1 inch. By the Pythagorean Theorem, the length of the hypotenuse is √ 2 inches. By constructing an adjacent right triangle with legs of √ 2 inches and 1 inch, you can create a segment of length √ 3.

3 √⎺ 1 By continuing this process as shown below, you can construct a “wheel” of square roots. This wheel is called the “Wheel of Theodorus” after a Greek philosopher who lived about 400 B.C. 1 √⎺ 2 1 Continue constructing the wheel until you make a segment of length √ 18. 1 1 1 1 √⎺4 = 2 √⎺3 √⎺5 √⎺2 1 √⎺6 √18 1 √⎺7 √17 √⎺8 √16 = 4 √⎺9 = 3 √15 √ 10 √14 √ 11 √13 √12 Chapter 8 23 Glencoe Geometry Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Chapter 8 A10 Glencoe Geometry Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc. Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.

NAME DATE PERIOD 8-4 Trigonometric Ratios The ratio of the lengths of two sides of a right triangle is called a trigonometric ratio. The three most common ratios are sine, cosine, and tangent, which are abbreviated sin, cos, and tan, respectively. Sin R = Study Guide and Intervention Trigonometry leg opposite ∠R − hypotenuse cos R = leg adjacent to ∠R −− hypotenuse tan R = S T R leg opposite ∠R −− leg adjacent to ∠R = − r t = − s t = − r s Example Find sin A, cos A, and tan A. Express each ratio as a fraction and a decimal to the nearest hundredth. B 5 C 13 12 A sin A = opposite leg − hypotenuse = − BC BA = − 5 13 cos A = adjacent leg − hypotenuse = − AC AB = − 12 13 tan A = = − BC AC = − 5 12 ≈ 0.38 ≈ 0.92 ≈ 0.42 opposite leg − adjacent leg Exercises Find sin J, cos J, tan J, sin L, cos L, and tan L. Express each ratio as a fraction and as a decimal to the nearest hundredth if necessary.

8 4 Study Guide And Intervention Special Right Triangles Answers

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