Name:
Ch. 4 Review Worksheet
A&W Math 11
Homework
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. A construction company is assembling a slide in a children’s playground. The slide is 7.4 m long. If the slide
can have a maximum slope of 27°, how high can the top of the slide be?
a. 3.4 m
b. 2.3 m
____
c. 3.8 m
d. 6.6 m
2. A right-angle triangle has one angle of 32° and a hypotenuse of 48.2 m. What is the area of the triangle?
a. 469.8 m2
b. 522 m2
____
c. 513.8 m2
d. 523.2 m2
3. Xavier is installing two sections of pipe. The first section is 5.7 m long and makes an angle of 25° below the
horizontal. The second section of pipe is attached at the end of the first, with a bend. The second pipe is 5.3 m
long and makes an angle of 37° below the horizontal. What is the total drop from the start of the first pipe to the
end of the second pipe?
a. 4.5 m
b. 4.3 m
4. Akiyo is designing a bird house with a symmetrical roof, as shown in the diagram. What is the total width of the
bird house?
.2
16
cm
a. 19.9 cm
b. 17.6 cm
12.8 cm
____
c. 5.6 m
d. 7 m
c. 21.3 cm
d. 19.2 cm
____
5. What is the minimum length of a wheelchair ramp, if it must rise a height of 1.3 m at a maximum angle of 9.4°
above the horizontal?
a. 7.96 m
b. 0.21 m
____
6. A shelf that is 18 cm wide is held up by a triangular bracket. The bracket makes a 37.5° angle with the bottom of
the shelf. What is the height of the bracket?
a. 13.81 cm
b. 12.94 cm
____
c. 10.96 cm
d. 14.28 cm
7. A football coach uses a whiteboard that shows a scale diagram of the football field to plan plays in a game. In
the diagram, the field is 118 cm long. The scale statement for the length of a football field is 1:99. How long is
the actual football field?
a. 104.4 m
b. 122.5 m
____
c. 1.32 m
d. 7.85 m
c. 115.6 m
d. 116.8 m
8. A Formula 1 race car is re-created as a toy car, reduced by a scale of
1
. If the model version is 7.8 cm tall, how
12
tall is the race car?
a. 0.75 m
b. 1.13 m
____
c. 0.94 m
d. 0.56 m
9. A 5.75-ft tall man is photographed next to a 12-ft tall statue. If the man measures 4 cm tall in the picture, how
tall is the statue in the picture?
a. 6.68 cm
b. 8.35 cm
c. 5.01 cm
d. 10.02 cm
Short Answer
10. The largest drop on a roller coaster has a slope of 64° above the horizontal and covers a distance of 13 m on the
ground. How tall is the roller coaster at its peak?
11. The steps of a staircase are 19.28 cm deep and 24.71 cm high. What is the angle of elevation of the staircase?
12. A long tunnel is being constructed to allow safe travel for transport trucks through a mountain range. If the road
through the tunnel can only be 10° steep and has to carry trucks up a height of 1120 ft, how long will the road
be?
13. An explorer discovers a 11.6-m wide trench that has vertical walls. Standing on one side at the top of the trench,
he uses a clinometer to calculate that the angle of depression to the bottom of the wall on the opposite side is
61°. Will his 40-m long rope be long enough to get him to the bottom of the trench? Explain.
14. The monkey bars on a playground measure 14.8 ft long. A scale model of the bars measures 0.67 feet long.
Write a scale statement for the model.
Problem
15. A 11-foot ladder is leaning against a vertical wall. For the ladder to be used safely, it cannot be placed at an
angle of elevation of less than 63° or greater than 80°. What range of heights can the ladder safely reach?
16. The sail of a sailboat is made out of two triangles of fabric. What area of fabric is needed to make the sail?
3.5 m
55
c
o
a
42
o
b
ANSWERS: 1. A, 2. B, 3. C, 4. A, 5. A, 6. A, 7. D, 8. C, 9. B, 10. 26.7 m, 11. 52°, 12. 6449.82 ft.
13. 20.93 m, yes the rope is long enough 14. Scale:Actual = 0.67:14.8 = 1:22, 15. Between 9.8 ft and 10.8 ft
16. a = 2.01 m c = 2.87 m b = 3.19 m Area Left = 2.88 Area Right = 4.58 Total Area = 7.46 m2