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HW17: Combine the radicals 1. 4 52 5 2. 3. 4 11 2 11 4. 3 13 5 13 3. a = 8 and c = 10 4. a = 4 and b = 4 5. A triangle has sides 12, 9 and 15. Is it a right triangle? 5. 2 12 3 27 6. 4 125 6 5 HW22: 3 2 8 2 HW18: Combine the radicals 4. 12 75 3 3 4 32 5 2 2 2 48 3 27 2 72 2 5 8 5. 2 12 x 3 27 x 6. 4 20x2 3 5x2 1. 2. 3. 2. Find the length of the diagonal of the triangle, if the length and the width of the rectangle are 5m and 3m. 3. Find the length of the diagonal of the triangle, if the length and the width of the rectangle are 2m and 4m. HW19: Find the missing side. 1. 2. 3. 4. 5. 1. Find the length of the diagonal of the triangle, if the length and the width of the rectangle are 4m and 6m. 4. Find the length of the diagonal of the triangle, if the length and the width of the rectangle are 3 m and 5 m. a = 3 and c = 5 b = 15 and c = 17 a = 5 and b = 12 a = 8 and b = 6 a = 24 and c = 26 HW20: In 1 and 2, c represents the length of the hypotenuse of a right triangle and a and b represent the lengths of the legs. For each right triangle, find the length of the side whose measure is not given. 1. a = 8, b = 15 2. c = 10, a = 6 In 3,4 and 5, express the length of the third side in radical form. 3. a = 3, b = 3 4. b = 3 , c = 14 5. a = 5 , b = 6 HW21: Find the missing side. HW25: Find the value of each trigonometric ration to the nearest ten-thousandth. 1. a = 2. a = 5 and b = 3 and b = 6 2 1. sin48 2. sin38 3. cos61 4. cos51 5. tanC HW26: Find the measure of the indicated angle to the nearest degree. HW29: 1. A man is walking along a straight road. He notices the top of a tower subtending an angle A = 45 with the ground at the point where he is standing. If the height of the tower is h = 5 m, then what is the distance (in meters) of the man from the tower? 2.A little boy is flying a kite. The string of the kite makes an angle of 30o with the ground. If the height of the kite is h = 10 m, find the length (in meters) of the string that the boy has used. HW30: 1. Find x and y 2. In the figure on the left, ABCD is a square whose side is 8 units. Find the length of diagonal AC to the nearest tenth. HW27: In right triangle ABC, c = 13, a = 12, b = 5 and angle C is a right angle. 1. Express tan B. 2. Express cos B. 3. Express sin B. HW31: Write as ordered number pairs the coordinates of the points A,B,C,D,E,F,G,H and O in the graph 4. A ladder 5 feet long leans against a wall and makes an angle of 30º with the ground. Find to the nearest tenth of a foot how high up the wall the ladder will reach. HW28: 1. A piece of lumber leans against a wall. The top of this 32 foot piece of lumber touches a point on the wall that is 16 feet above the ground. Find to the nearest degree the measure of the angle that the lumber makes with the wall. 2. A ladder leans against a building. The foot of the ladder is 12 feet from the building. The ladder reaches a height of 28 feet on the building. a. Find the length of the ladder to the nearest foot. b. Find to the nearest degree, the angle the ladder makes with the ground. HW32: a. Graph the points and connect them with straight lines in order, forming a polygons. b. Identify the polygon. c. Find the area of the polygon. 1. A(1,1), B(8,1), C(1,5) 2. P(0,0), Q(6,0), R(3,4) 3. A(-1,3), L(1,3), F(0,7) 4. H(-4,0), O(0,0), M(0,4), E(-4,4) HW33: Find y 1. y + x = 3 2. x - y = 5 3. 2y - 4x = 10 4. 5x - y = -4 5. 2y +4x = 12 6. 2x - 6y + 10 = 6