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Worksheets10.4 Tangent Ratio
Total questions: 20
Worksheet time: 5hrs 0mins
Name
Class
Date
1.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
2.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
3.
What is the tangent ratio?
a)
b)
c)
4.
What side does x represent?
a)
hypotenuse
b)
right angle
c)
adjacent
d)
opposite
5.
Locate the Opposite side of angle A.
a)
Side c
b)
side b
c)
side a
6.
What is the tangent ratio for Angle A?
a)
BC/AC (BC over AC)
b)
AB/BC (AB over BC)
c)
AC/BC (AC over BC)
7.
a)
27/36
b)
27/45
c)
45/36
d)
45/27
8.
tan (10) ≈
a)
0.176
b)
0.268
c)
0.364
d)
0.577
9.
tan (30) ≈
a)
0.176
b)
0.268
c)
0.364
d)
0.577
10.
tan (45) ≈
a)
0.839
b)
1
c)
1.192
d)
1.428
11.
tan (60) ≈
a)
1.192
b)
1.428
c)
1.732
d)
2.145
12.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
13.
Find the exact answer for the missing variable.
a)
tan 3018
b)
18⋅tan 30
c)
31.2
d)
10.4
14.
a)
20
b)
5.9
c)
33
d)
42
15.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
16.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?
against a building 5 feet away. What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building. What is the angle of elevation?
17.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
18.
Find the mistake
a)
tan 68 should be cos 68
b)
there is no mistake
c)
they should have divided
d)
x/14 should be 14/x
19.
When a ladder is rested against a tree, the foot of the ladder is 1 m from the base of the tree and forms an angle of 64° with the ground. How far up the tree does the ladder reach, to the nearest tenth of a meter?
(a)
20.
A 21ft flagpole casts a shadow when the angle of elevation from the ground is 40°. How long is the shadow to the nearest foot?
(a)
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