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Welcome to... A Game of Xs and Os

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1 The sine of 89 degrees is approximately ______.

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2 In the figure below, what is the area of the isosceles triangle with the 27 degree base angles and the matching 15 unit sides (to the nearest whole number).

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3 The regular hexagon HEXAGN has side lengths of 10 units. Find line segment HX to the nearest tenth of a unit.

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4 In the 5-12-13 right triangle below, what is the length of the altitude to the hypotenuse rounded to the nearest hundredth.

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5 What is the area of the pentagon below, rounded to the nearest square centimeter? Remember the pentagon is a regular, inscribed polygon, and the radius of the circle is 5 cm.

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6 Ken Katana is a kite flying beach beanie. He likes to get his kite aloft and reel out all 500 ft of string. Today its out on a 500 foot line and is making a 70 degree angle with the ground. Find how high off the ground it is rounded to the nearest whole number.

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7 Two foot tall, Beatrice Beanie loves to shadow dance on her driveway just as the sun goes down. If the sun is making a seven degree angle with the ground, how long will Beatrices shadow be to the nearest foot?

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8 Look at the figure below. Consider angles 1, 2, 3, and 4. Decide which has the largest tangent?

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9 All ladders have a window of safety. They will only stand rigid if placed at an angle between 65 and 80 degrees with respect to the ground. Suppose you have a 25 foot ladder, what is the CLOSEST you can place this ladder to the building and still be safe (to the nearest tenth)?

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