Transcript ch8Review

Vocabulary Trig Functions
Special
Right
Triangles
Pythagorean
Theorem
Vectors
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A ratio of the side
opposite an angle to the
side adjacent that angle.
Answer: tangent
A set of whole numbers
that satisfy the
Pythagorean Theorem.
Answer:
Pythagorean Triple
The distance from the
initial point to the
terminal point of a
vector.
Answer: magnitude
The ratio of the side
opposite an angle to the
hypotenuse of the
triangle.
Answer: sine
The ratio of the side
adjacent to an angle to
the hypotenuse of the
triangle.
Answer: cosine
Find the missing value
to the nearest whole
number:
9
tan x 
10
Answer: 42
Find the missing value
to the nearest whole
number:
x
tan 76 
3
Answer: 12
Find the missing value
to the nearest whole
number:
1
cos 83 
x
Answer: 8
Find the value of x to
the nearest degree:
13
x
16
Answer: 51
Find the value of x to
the nearest tenth:
12
36
x
Answer: 16.5
Find the value of each variable:
x
9
30
y
Answer:
x = 9√3
y=18
Find the value of x:
x
12
Answer:
x = 12√2
Find the value of each variable:
60
y
x
20
Answer:
20 3
40 3
x
,y
3
3
Find the value of x and y:
11
x
y
Answer:
11 2
x y
2
A 5-foot tall woman
stands 15 ft from a
statue. She must look
up at an angle of 60° to
see the top of the statue.
How tall is the statue?
Answer:
about 31 ft
Find the value of x:
x
20
12
Answer:
16
Find the value of x:
14
16
x
Answer:
2√113
Find the value of x:
8
x
15
Answer:
17
Find the value of x:
7
x
11
Answer:
√170
Find the value of x:
15
x
13
Answer:
2√14
Describe the vector using ordered
pair notation:
150
33
Answer:
125.8,81.7
50 km
Find the
magnitude and
direction of the
vector:
200 km
Answer:
206.2 km, 14.0° west of south
Find the sum of the pair of vectors.
Give your answer in ordered pair
notation.
b   1,1
e  2,3
Answer:
1,4
A whale watching tour leaves port
and travels 12 miles directly north,
then travels 5 miles due east. What
specific direction should the boat
head to return directly to port?
Answer:
67.4° south of west
A canoe heading 30° west of north
is being paddled at a rate of 7 mi/h.
The current is pushing the canoe
20° south of west at a rate of 3
mi/h. Find the resulting speed and
direction of the canoe.
Answer:
8.1 mph at 39° north of west