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Trigonometry - Solve Side Lengths from Values (Level 1)

This math topic focuses on applying trigonometric principles to solve for unknown side lengths in right triangles. It covers various questions where students must use given angles and sides to calculate the missing side. The problems typically present an angle and one side length (either opposite, adjacent, or hypotenuse), and students need to find the unknown side by applying trigonometric ratios such as sine, cosine, or tangent. Each question includes multiple-choice answers, allowing students to check their calculations against possible solutions. This reinforces understanding of trigonometric relationships in practical applications.

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

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Solve Side Lengths from Values

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

Solve for the side indicated

σ=45∘opp=11adj=?\sigma = 45^{\circ}\\opp = 11\\adj = ?\\

Trigonometry - Solve Side Lengths from Values Worksheet

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Math worksheet on 'Trigonometry - Solve Side Lengths from Values (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Practice' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_practice/
1
Solve for the side indicated
A LaTex expression showing \beta = 35 to the power of circle \\opp = 4.2\\hyp = ?\\
a A LaTex expression showing hyp = 5.1
b A LaTex expression showing hyp = 8.8
c A LaTex expression showing hyp = 7.3
d A LaTex expression showing hyp = 9.5
e A LaTex expression showing hyp = 6.6
f A LaTex expression showing hyp = 8.1
2
Solve for the side indicated
A LaTex expression showing \lambda = 60 to the power of circle \\opp = ?\\adj = 6\\
a A LaTex expression showing opp = 12.5
b A LaTex expression showing opp = 10.4
c A LaTex expression showing opp = 6.2
d A LaTex expression showing opp = 13.5
e A LaTex expression showing opp = 7.3
f A LaTex expression showing opp = 11.4
3
Solve for the side indicated
A LaTex expression showing \sigma = 60 to the power of circle \\hyp = ?\\adj = 10\\
a A LaTex expression showing hyp = 14.0
b A LaTex expression showing hyp = 24.0
c A LaTex expression showing hyp = 20.0
d A LaTex expression showing hyp = 18.0
e A LaTex expression showing hyp = 22.0
f A LaTex expression showing hyp = 16.0
4
Solve for the side indicated
A LaTex expression showing \theta = 60 to the power of circle \\hyp = 16\\adj = ?\\
a A LaTex expression showing adj = 6.4
b A LaTex expression showing adj = 5.6
c A LaTex expression showing adj = 8.0
d A LaTex expression showing adj = 11.2
e A LaTex expression showing adj = 9.6
f A LaTex expression showing adj = 4.8
5
Solve for the side indicated
A LaTex expression showing \theta = 40 to the power of circle \\hyp = 5.2\\opp = ?\\
a A LaTex expression showing opp = 4.7
b A LaTex expression showing opp = 2.0
c A LaTex expression showing opp = 3.7
d A LaTex expression showing opp = 3.0
e A LaTex expression showing opp = 4.0
f A LaTex expression showing opp = 3.3
6
Solve for the side indicated
A LaTex expression showing \lambda = 35 to the power of circle \\hyp = 3.7\\adj = ?\\
a A LaTex expression showing adj = 3.6
b A LaTex expression showing adj = 3.0
c A LaTex expression showing adj = 2.7
d A LaTex expression showing adj = 4.2
e A LaTex expression showing adj = 2.1
f A LaTex expression showing adj = 2.4
7
Solve for the side indicated
A LaTex expression showing \mu = 45 to the power of circle \\opp = 6\\hyp = ?\\
a A LaTex expression showing hyp = 11.9
b A LaTex expression showing hyp = 11.0
c A LaTex expression showing hyp = 5.1
d A LaTex expression showing hyp = 8.5
e A LaTex expression showing hyp = 7.6
f A LaTex expression showing hyp = 5.9