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Chapter 5 Solutions
EBK ALGEBRA AND TRIGONOMETRY
- Suppose the angle formed by the line y = 3x and the positive x-axis is 6. Find the tangent of (Figure 1). Figure 1arrow_forwardIn each of the following exercises, three views of a part are shown. The angular surfaces are to be machined in reference to the horizontal plane at A and B as shown in the front and right side views. Compute the required angles using these formulas: tanR=tanAtanB cotC=cot2A+cot2B Given: A=31.60 C=28.00 a. Compute B. b. Compute R . Use this figure for Exercises 15, 16, and 17.arrow_forwardFor the 30-60-90 triangle shown, suppose that XY=2a. Find: a XZ b YZarrow_forward
- Sketch the curve represented by each set of equations by eliminating the parameter. a. x=5cos and y=3sin,02 b. x=1+tan and y=2+2sec,/23/2arrow_forward(c) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for Cleggswood Hill, Hollingworth Hill and Heights Barn Hill respectively. On the map, DE = 3.5 cm and EF = 5.5 cm and ZDEF = 105°. (i) Is ZDEF on the map greater than, less than, or the same as the angle between the horizontal line between Cleggswood Hill and Hollingworth Hill and the horizontal line between Hollingworth Hill and Heights Barn Hill in real life? Explain your answer. (ii) Find the length DF. (iii) Find the EFD. (iv) Find the area of triangle DEF.arrow_forward(c) A third tower is located at Heights Barn Hill. Let DEF represent the points on the map for Cleggswood Hill, Hollingworth Hill and Heights Barn Hill respectively. On the map, DE = 3.5 cm and EF = 5.5 cm and ZDEF = 105°. (i) Is ZDEF on the map greater than, less than, or the same as the angle between the horizontal line between Cleggswood Hill and Hollingworth Hill and the horizontal line between Hollingworth Hill and Heights Barn Hill in real life? Explain your answer. (ii) Find the length DF. (iii) Find the ZEFD.arrow_forward
- Calculate Xarrow_forwardFind the cosine of the angle between the following two planes. −1x +2y +5z −4x+3y -5z cos 0 = = I -1 1arrow_forwardQ4. (a) The diagram shows a triangle ABC. 5 cm (ii) C 6 cm B The lengths of AC and BC are 5 cm and 6 cm respectively. The area of triangle ABC is 12.5 cm², and angle ACB is obtuse. (i) Find the size of angle ACB, giving your answer to the nearest 0.1°. Find the length of AB, giving your answer to two significant figures.arrow_forward
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