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Triangle Trig HW 12-5 12-5 12-5 Name_________________________ No._____ Pg 542/1-4, 7, 17-20 Pg 543 prob/1-13 odd Page 542: Give lengths to three significant digits and angle measures to the nearest tenth of a degree or nearest ten minutes. Solve each right triangle ABC. 1. A 28.6, c 145 2. B 42.8, c 16.3 3. B 71.5, a 1.82 4. A 57.5, b 355 7. a 460, c 640 17. The height of an isosceles triangle is 10 units and its base is 16 units long. Find its angles. 18. The height of an isosceles trapezoid is 12 units and its bases have lengths 25 and 15 units. Find its angles. 19a. Find the perimeter of a regular pentagon inscribe in a unit circle (a circle with radius 1). Triangle Trig HW 12-5 19b. Find the perimeter of a regular pentagon circumscribed about a unit circle. Name_________________________ No._____ 20. Repeat exercise 19 for a regular polygon having 10 sides. a. b. Page 543: Give lengths to three significant digits and angle measures to the nearest tenth of a degree. 1. What is the angle of elevation of the sun 3. In one minute a plane descending at a when a flagpole 22.5 m high casts a shadow constant angle of depression of 11.5 travels 32.4 m long? 1500 m along its line of flight. How much altitude has it lost? 5. A television camera on a blimp is focused on a football field with angle of depression 18.3 . A range finder on the blimp determines that the field is 1850 m away. How high is the blimp? 7. Opposite corners of a small rectangular park are joined by diagonal paths, each 240 m long. Find the dimensions of the park if the paths intersect at a 36 angle. 9. From a point 100 m from a building, the angles of elevation of the top and bottom of a flagpole atop the building are 62.2 and 59.5 . How tall is the flagpole? 11. Two boats are in line with a tower whose top is 48 m above the water. How far apart are the boats if their angles of depression from the top of the tower are 23.5 and 27.5 ? 13. Two observers 1600 m apart on a straight road measure the angles of elevation of a helicopter hovering over the road between them. If these angles are 32.0 and 50.5 , how high is the helicopter?