Orchard Hideout Scramble 2012 Revised - Cheney USD 268

[Pages:3]Orchard Hideout Scramble ? 2012 Revised

Solution Bank / Map Decoder

1.72 Refer to page 8 in your text...A

pair of angles like angles 3 and 4

are called

* _ _ _ _ _ _ _ _ _ _ _ _ angles.

2800 The volume of a right prism is

equal to the _ _ _ _ _ _ * of its

height and the area of its base.

99.7 The _ _ _ _ * _ _ _ _ _ _ Theorem

states that in a right triangle with

leg lengths of a and b and a

hypotenuse of c, the lengths satisfy

the equation a2 b2 c2

53.1 In any _ _ _ _ _ _ _ _, the sum of

the measures of the angles is

_ * _ _ _ _ _ 180 degrees.

5.2

_ * _ = adjacent

hypotenuse

24 The _ _ _ _ _ _ * _ _ of a polygon is the sum of the lengths of its sides

34.9

21 2 2

87 9

The faces of a right prism that are not called the bases are called the _ _ _ _ _ _ * surfaces. If two lines l and m are _ _ * _ _ _ _ by a third line k, the line k is called a transversal.

In a _ * _ _ _ triangle, the sides forming the right angle are the legs and the side opposite the right angle is the hypotenuse. _ _ * = opposite

hypotenuse

Solution Bank / Map Decoder 64.1 The _ * _ _ of a triangle is

equal to half of the product of its base and the corresponding altitude. 581 The * _ _ _ _ _ of a solid figure is the number of cubic units it contains. 109 If a pair of corresponding angles formed by a transversal across two lines are equal, * _ _ _ the two lines must be parallel.

317 48,900

73

Tangent Lattice

65 31.7

The _ _ _ _ _ * _ _ _ of a polygon is the sum of the lengths of its sides. In any right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the _ * _ _ _ _ _ _ _ _. Each trigonometric function has an _ * _ _ _ _ _ function that is used to determine the angle if the value of the trigonometric function is known The area of a rectangle is equal to the _ _ _ _ * _ _ of its length and its width. If the corresponding sides of two triangles are _ _ * _ _ _ _ _ _ _ _ _ in length, then the triangles must similar. If two parallel lines are crossed by a transversal, then any pair of alternate interior angles _ _ _ * be equal. Two polygons are considered _ _ _ _ _ * _ _ _ if they have the same shape and the same size.

Orchard Hideout Scramble ? 2012 Revised

Questions

1. Using the diagram on page 8 in your text...If 11. A vertically directed searchlight shines a spot of

angle 1 has a measure of 115 degrees, then

a light on the bottom of the cloud cover over an

angle 4 must have a measure of ________

airport. The angle of elevation of the spot from an

degrees.

observation post 1200m from the searchlight is 66.8

degrees. How high is the cloud cover?

2. A boy flying a kite is standing 30ft from a 12. The approach pattern to an airport requires pilots

point directly under the kite. If the string to the to set an 11 degree angle of descent toward the

kite is 50ft long, find the angle of elevation to runway. If a plane is flying at a height of 9500m, at

the kite.

what distance (measured along the ground) from the

airport must the pilot start the descent?

13. A driveway is built on an incline so that it rises

3. A road rises 3m per 100 horizontal m. What 3m over a distance of 20m. What is the angle of

angle does it make with the horizontal?

elevation?

4. Find the area of a triangle with sides of

14. The distance from a point directly under a hot air

lengths 5,6, and 7.

balloon to the point where the balloon is staked to the

ground with a rope is 285ft. The angle of elevation

up the rope to the balloon is 48 degrees. Find the

height of the balloon.

5. A ________ to a circle is a line that

15. Each step of a stairway rises 16cm for a tread

intersects the circle in exactly one point.

width of 36cm. What angle does the stairway make

with the floor?

6. In aerial navigation, directions are given in 16. If a rocket flies 2 degrees off course for 1000

degrees. Thus east is 90 degrees, south is 180 miles, how far from the correct path will the rocket

degrees, and so on. An airplane leaves and

be?

airport and travels for 100 miles in a direction

300 degrees. How far West of the airport is the

plane?

7. An airplane travels for 2 hours at 120km/h in 17. A television camera on a blimp is focused on a

a direction of 243 degrees from Chicago. A the football field with an angle of depression of 18.3

end of this time how far South of Chicago is the degrees. A range finder on the blimp determines that

plane?

the field is 1850m away. How high is the blimp?

8. A cable 4m long is attached to a pole. The 18. As it leans against a building, a 9 meter ladder

cable is staked to the ground 1.75m from the makes an angle of 55 degrees with the ground. How

base of the pole. Find the angle the cable

far is the bottom of the ladder from the base of the

makes with the ground.

building?

9. A logger stands 200 feet away from the base 19. An observer stands on level ground, 200m from

of a tree. Viewing the top of the tree, he

the base of a TV tower, and looks up at an angle of

estimates the angle of elevation to be 20

26.5 degrees to see the top of the tower. How high is

degrees. How far does the tree rise above eye the tower above the observer's eye level?

level?

10. A ________ point, is a point whose

20. What is the elevation of the sun when a tree

coordinates are both integers.

6.25m tall casts a shadow 10.1m long?

Orchard Hideout Scramble ? 2012 Revised

Directions

Name_______________ Due Monday September 14th 2012

As you embark on this exciting journey you may find the following information to be of interest.

Your task is to use the `Map Decoder' to figure out the clues that will lead you to the end of your journey. You must use your text to fill in the missing words in each statement. Pay particular attention to the letter in these words that occupies the * space. This will be your letter of interest.

Each letter of interest will be placed on your map. In order to determine which map square to place your letter of interest in you must solve each of the math problems in the `Questions' column of your table, find the solution to each of these problems in the `Solution Bank' and match the letter of interest from the `Map Decoder' column up with the number of the question you solved. This is the map square where you will place your letter of interest.

First person (from each class) done will receive a reward. The map will provide a clue as to where you can find the token for your class. Retrieve the token and return it to Mr. Jones to claim your prize!

If you need any further instructions you may ask Mr. Jones.

Good Luck

Happy Unscrambling!

Mr. Jones

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