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Trigonometry - Approximating Ratios in Decimal from Diagrams (Level 1)

This math topic focuses on developing skills in approximating trigonometric ratios, specifically using visual information from diagrams to determine the ratios of triangle sides (labeled as 'o' for opposite, 'h' for hypotenuse, and 'a' for adjacent) in decimal form. The exercises predominantly deal with the ratios of 'o' to 'h' and 'a' to 'h'. The problems require visually interpreting diagrams, identifying relevant sides, and selecting appropriate decimal approximations from given options. This forms a basic introductory part of learning trigonometry fundamentals.

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

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Approximating Ratios in Decimal from Diagrams

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.

Visually approximate the ratio of side 'o' to side 'a'

45 degoa

Trigonometry - Approximating Ratios in Decimal from Diagrams Worksheet

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Math worksheet on 'Trigonometry - Approximating Ratios in Decimal from Diagrams (Level 1)'. Part of a broader unit on 'Trigonometry - Solving Triangles' Learn online: app.mobius.academy/math/units/trigonometry_solving_triangles/
1
An svg image showing a math problem
Visually approximate the ratio of side 'o' to side 'a'
a A LaTex expression showing o over a = 0.52
b A LaTex expression showing o over a = 0.84
c A LaTex expression showing h over o = 70.26
d A LaTex expression showing h over a = 83.20
e A LaTex expression showing o over a = 1.15
f A LaTex expression showing o over a = 0.57
2
Visually approximate the ratio of side 'o' to side 'a'
An svg image showing a math problem
a A LaTex expression showing a over a = 35.08
b A LaTex expression showing o over a = 0.93
c A LaTex expression showing o over h = 124.23
d A LaTex expression showing o over a = 1.73
e A LaTex expression showing o over a = 2.42
f A LaTex expression showing o over a = 1.16
3
An svg image showing a math problem
Visually approximate the ratio of side 'o' to side 'h'
a A LaTex expression showing a over h = 16.41
b A LaTex expression showing o over h = 0.83
c A LaTex expression showing o over h = 0.51
d A LaTex expression showing o over h = 1.14
e A LaTex expression showing o over h = 0.60
f A LaTex expression showing a over o = 0.92
4
An svg image showing a math problem
Visually approximate the ratio of side 'a' to side 'h'
a A LaTex expression showing a over h = 0.96
b A LaTex expression showing h over o = 0.72
c A LaTex expression showing a over h = 0.65
d A LaTex expression showing a over h = 0.33
e A LaTex expression showing h over h = 85.92
f A LaTex expression showing a over h = 0.42
5
An svg image showing a math problem
Visually approximate the ratio of side 'o' to side 'h'
a A LaTex expression showing o over h = 1.09
b A LaTex expression showing o over h = 0.82
c A LaTex expression showing h over a = 141.30
d A LaTex expression showing h over a = 1.17
e A LaTex expression showing o over h = 0.55
f A LaTex expression showing o over h = 0.46
6
An svg image showing a math problem
Visually approximate the ratio of side 'o' to side 'a'
a A LaTex expression showing a over a = 0.69
b A LaTex expression showing o over a = 0.84
c A LaTex expression showing o over a = 0.89
d A LaTex expression showing o over a = 0.30
e A LaTex expression showing o over a = 0.57
f A LaTex expression showing o over a = 0.35
7
Visually approximate the ratio of side 'o' to side 'h'
An svg image showing a math problem
a A LaTex expression showing o over h = 1.18
b A LaTex expression showing o over h = 0.60
c A LaTex expression showing a over h = 288.58
d A LaTex expression showing o over h = 1.14
e A LaTex expression showing h over o = 499.20
f A LaTex expression showing o over h = 0.87