Calculating Angles from Ratio Decimals and Trig Identities (Level 1)

This math topic focuses on calculating angles from given ratios described in decimal form using trigonometric identities within a trigonometry fundamentals introduction. It involves interpreting trigonometric ratios (such as adjacent over hypotenuse or opposite over hypotenuse) to determine the corresponding angle values in degrees. Each problem presents a ratio and multiple-choice answers, requiring an understanding of trigonometric functions to identify the correct angle that corresponds to the specified ratio.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Trigonometry - Calculating Angles from Ratio Decimals and Trig Identities Worksheet

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Math worksheet on 'Trigonometry - Calculating Angles from Ratio Decimals and Trig Identities (Level 1)'. Part of a broader unit on 'Trigonometry - Solving Triangles - Intro' Learn online: app.mobius.academy/math/units/trigonometry_solving_triangles_intro/
1
What angle (in degrees) has this ratio of sides?
A LaTex expression showing adj over hyp = 0.743
a
32 deg
b
22 deg
c
42 deg
d
27 deg
e
57 deg
f
52 deg
2
What angle (in degrees) has this ratio of sides?
A LaTex expression showing adj over hyp = 0.669
a
53 deg
b
58 deg
c
33 deg
d
48 deg
e
43 deg
f
38 deg
3
What angle (in degrees) has this ratio of sides?
A LaTex expression showing opp over hyp = 0.485
a
34 deg
b
19 deg
c
44 deg
d
29 deg
e
39 deg
f
9 deg
4
What angle (in degrees) has this ratio of sides?
A LaTex expression showing opp over adj = 8.144
a
73 deg
b
93 deg
c
88 deg
d
103 deg
e
83 deg
f
78 deg
5
What angle (in degrees) has this ratio of sides?
A LaTex expression showing opp over hyp = 0.866
a
75 deg
b
45 deg
c
65 deg
d
60 deg
e
80 deg
f
55 deg
6
What angle (in degrees) has this ratio of sides?
A LaTex expression showing adj over hyp = 0.616
a
47 deg
b
32 deg
c
52 deg
d
57 deg
e
67 deg
f
72 deg
7
What angle (in degrees) has this ratio of sides?
A LaTex expression showing adj over hyp = 0.921
a
13 deg
b
33 deg
c
43 deg
d
23 deg
e
38 deg
f
8 deg
Trigonometry - Calculating Angles from Ratio Decimals and Trig Identities (Level 1) - Mobius Math