Name: 
 

Ch 8 Gateway



 1. 

The angle from a point on the ground
to the top of a 182-foot tower is 34°. 

        mc001-1.jpg
        mc001-2.jpg
        mc001-3.jpg

About how long is a wire that reaches from the top of the tower to the point on the ground?
mc001-4.jpg
A)
151 ft
B)
220 ft
C)
270 ft
D)
325 ft
 

 2. 

From a point 30 feet from the base of a tower,
a wire is stretched to an attachment 67 feet up the tower.










To the nearest foot, how long is the wire?
mc002-1.jpg
A)
97 ft
B)
73 ft
C)
60 ft
D)
37 ft
 

 3. 

In the figure, QRS is a right triangle.
mc003-1.jpg is perpendicular to mc003-2.jpg, and the measure of  mc003-3.jpg = 5 yards and mc003-4.jpg = 20 yards.


What is the measure of mc003-5.jpg?
mc003-6.jpg
A)
17.3 yd
B)
11.2 yd
C)
22.4 yd
D)
25.0 yd
 

 4. 

The top of a ladder is leaning on a building at a point 16 feet above the ground; the bottom of the ladder is 7 feet from the base of the building. What is the length of the ladder to the nearest foot?
A)
23 ft
B)
17 ft
C)
15 ft
D)
9 ft
 

 5. 

A design is formed by joining isosceles
right triangles and 60°-30° right triangles as shown in the diagram.




If the hypotenuse of the 60°-30° triangle is 30 centimeters, which is closest to the length of one leg of the isosceles right triangle?
mc005-1.jpg
A)
15 cm
B)
22.5 cm
C)
21.2 cm
D)
26 cm
 

 6. 

A customer provided this diagram
of a dog pen to a fencing company.









What is the length of the unlabeled side?
mc006-1.jpg
A)
15 ft
B)
14 ft
C)
16 ft
D)
13 ft
 

 7. 

To determine the distance across a pond,
Gwen made the measurements shown in the diagram.

        mc007-1.jpg
        mc007-2.jpg
        mc007-3.jpg

Which is closest to the distance from J to K?
mc007-4.jpg
A)
13.2 ft
B)
46.1 ft
C)
49.9 ft
D)
174.1 ft
 

 8. 

An airplane is 33 ground miles from
the end of the runway (GR) and 6 miles high (PG) when it begins its approach to the airport.


To the nearest mile, what is the distance (PR) from the airplane to the end of the runway?
mc008-1.jpg
A)
40 miles
B)
34 miles
C)
32 miles
D)
38 miles
 

 9. 

To mark the end of a race, a
finish-line banner is stretched across the road as shown in the drawing.

Which is closest to the length of the support rope designated by x in the drawing?
mc009-1.jpg
A)
10.2 ft
B)
12 ft
C)
14.5 ft
D)
17.0 ft
 

 10. 

A baseball diamond is in the
shape of a square, 90 feet on a side.






What is the direct distance from home plate to second base?
mc010-1.jpg
A)
90 ft
B)
mc010-6.jpg ft
C)
mc010-7.jpg ft
D)
180 ft
 

 11. 

What is the length of a diagonal brace
that could be used for a wall 5 feet high and 12 feet long?mc011-1.jpg
A)
11 ft
B)
12 ft
C)
17 ft
D)
13 ft
 

 12. 

The drawing shows the measurements
in a section of a circular design.






How long is the radius of the circle?
mc012-1.jpg
A)
30.0 m
B)
26.0 m
C)
21.2 m
D)
52.0 m
 

 13. 

An airplane is headed due north at
480 nautical miles per hour (knots) as shown in the drawing. The wind is blowing directly from the west at 50 knots.
                      





                                        
Which is closest to the resultant speed of the airplane?
mc013-1.jpg
A)
530 knots
B)
483 knots
C)
487 knots
D)
477 knots
 

 14. 

Triangle MNP is an equilateral triangle
with side lengths of 12 centimeters.
               


What is the length, in centimeters, of mc014-1.jpg?
mc014-2.jpg
A)
6
B)
mc014-8.jpg
C)
mc014-9.jpg
D)
mc014-10.jpg
 

 15. 

The parallelogram has the measurements shown.
Which is closest to the length of the altitude, h?mc015-1.jpg
A)
24.64
B)
13.42
C)
15.59
D)
13.07
 

 16. 

For the triangle represented
by the drawing, what is the length of side mc016-1.jpg?mc016-2.jpg
A)
mc016-8.jpg
B)
mc016-9.jpg
C)
mc016-10.jpg
D)
mc016-11.jpg
 

 17. 

Scotty is making a train of dominoes on the floor. 
mc017-1.jpg
How many dominoes are needed to complete the triangle?
A)
6
B)
12
C)
18
D)
36
 

 18. 

What is the length of mc018-1.jpg?
mc018-2.jpg
A)
9.38 m
B)
11 m
C)
18.76 m
D)
15.81 m
 

 19. 

Using the measures shown, which triangle must be a right triangle?
A)
mc019-1.jpg
C)
mc019-3.jpg
B)
mc019-2.jpg
D)
mc019-4.jpg
 

 20. 

What is the value of z?
mc020-1.jpg
A)
mc020-6.jpg
B)
mc020-7.jpg
C)
mc020-8.jpg
D)
mc020-9.jpg
 

 21. 

A drawing of Mike’s kite is shown below.









What is the length of the short section of the outer frame indicated by z in the drawing?
mc021-1.jpg
A)
16 in.
B)
15 in.
C)
14 in.
D)
17 in.
 

 22. 

A windlass is used to pull a boat to the dock.
The rope is attached to the boat at a point 8 feet below the level of the windlass.




What is the distance from the boat to the dock when the rope is 17 feet?
mc022-1.jpg
A)
17 ft
B)
15 ft
C)
9 ft
D)
8 ft
 

 23. 

Given:
mc023-1.jpg where mc023-2.jpg and mc023-3.jpg
               
What is the length, to the nearest milimeter, of mc023-4.jpg?
mc023-5.jpg
A)
226 mm
B)
140 mm
C)
147 mm
D)
430 mm
 

 24. 

mc024-1.jpg is a right triangle.






Which is closest to the length of mc024-2.jpg ?
mc024-3.jpg
A)
38
B)
40
C)
30
D)
42
 

 25. 

The figure represents the side view
of a rectangular frame for metal shelves.  Two diagonal braces support the frame.


What is the closest to the measure of x?
mc025-1.jpg
A)
B)
14°
C)
28°
D)
74°
 



 
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