right triangle word problems.notebook · right triangle word problems.notebook 11 September 23,...

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right triangle word problems.notebook 1 September 23, 2013 Jan 301:33 PM SAT 1. If x 2 +y 2 =18, and xy = 6, then (x y) 2 = a. 12 b. 6 c. 0 d. 6 e. 12 2. If 2 y 3 and 4 z 5, then the least possible average (arithmetic mean) of 1/y and 1/z is a. 3/8 b. 4/15 c. 1/4 d. 1/6 e. 1/16

Transcript of right triangle word problems.notebook · right triangle word problems.notebook 11 September 23,...

Page 1: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

right triangle word problems.notebook

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September 23, 2013

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SAT

1.  If x2 + y2=18, and xy = 6, then (x ­ y)2=

a. 12 b. 6c. 0d. ­6 e. ­12

2.  If 2≤y≤3 and 4≤z≤5, then the least possible average (arithmetic mean) of 1/y and 1/z is

a. 3/8b. 4/15c. 1/4d. 1/6e. 1/16

Page 2: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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Page 3: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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Right Triangle Word Problems.

1.  The base angles of an isosceles triangle measure 70o and the base is 18 cm.  Find the lengths of the congruent sides and the altitude of the triangle to the nearest tenth of a cm.

Page 4: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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2. A tower measures 50 meters high and casts a shadow 40 meters long.  Find the angle of elevation to the sun to the nearest tenth of a degree.

Page 5: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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3.  A rectangle is 20 cm by 29 cm.  Find the angle formed by the longer side and the diagonal to the nearest tenth.

Page 6: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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4.  A regular pentagon is inscribed in a circle with a diameter of 12 cm.  Find the apothem (from the center perpendicular to the base of the pentagon).

Page 7: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

right triangle word problems.notebook

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A regular decagon is inscribed in a circle with a diameter of 22 cm.  Find the apothem (from the center perpendicular to the base of the hexagon).

Page 8: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

right triangle word problems.notebook

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6.  Justin is using a 18 foot ladder to clean the windows on the second floor. His ladder stands on level ground and rests against the side of his house at a point 12 feet from the ground.  How far from the side of his house is the foot of the ladder?  At what angle does the ladder make with the ground?

Page 9: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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September 23, 2013

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A hot air balloon rises at the rate of 30 feet per minute.  An observer 500 feet from the place of ascent watches the balloon rise.  What is the altitude of the balloon after 5 minutes?  What is the angle of elevation from the observer to the balloon at this time?

Page 10: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

right triangle word problems.notebook

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September 23, 2013

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How long does a ladder need to be, if it makes a 50 degree angle with the ground and it needs to reach a window that is 16 feet off the ground?

Page 11: right triangle word problems.notebook · right triangle word problems.notebook 11 September 23, 2013 Jan 301:52 PM An airplane is at an elevation of 3000 feet when it begins its approach

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An airplane is at an elevation of 3000 feet when it begins its approach to an airport.  Its angle of descent is 25 degrees.

a.  What is the distance between the airport and the point on the ground directly below the plane?

b.  What is the approximate air distance between the plane and the airport?

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