Trigonometry - Solve Angles from Values (Level 1)

This math topic focuses on solving for unknown angles using trigonometric principles, specifically involving calculations using various side lengths of triangles (opposite, adjacent, hypotenuse). The problems provide measurements of two sides and require determining the angle, helping reinforce the application of trigonometric ratios such as sine, cosine, and tangent. This set of problems is designed as an introductory level of trigonometry, suitable for beginning learners who are just familiarizing themselves with the basics of trigonometric relationships in right-angled triangles.

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

Solve Angles from Values

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

Solve for the angle in degrees given the values

opp = 4.3\\adj = 3\\\beta = ?^{\circ}\\

Trigonometry - Solve Angles from Values Worksheet

Math worksheet on 'Trigonometry - Solve Angles from Values (Level 1)'. Part of a broader unit on 'Trigonometry Fundamentals - Practice' Learn online: app.mobius.academy/math/units/trigonometry_fundamentals_practice/

Solve for the angle in degrees given the values

$A LaTex expression showing hyp = 20\\adj = 10\\\sigma = ? to the power of circle \\$

a $A LaTex expression showing \sigma = 80 to the power of circle$

b $A LaTex expression showing \sigma = 70 to the power of circle$

c $A LaTex expression showing \sigma = 60 to the power of circle$

d $A LaTex expression showing \sigma = 45 to the power of circle$

e $A LaTex expression showing \sigma = 55 to the power of circle$

f $A LaTex expression showing \sigma = 40 to the power of circle$

Solve for the angle in degrees given the values

$A LaTex expression showing hyp = 15.6\\adj = 10\\\beta = ? to the power of circle \\$

a $A LaTex expression showing \beta = 55 to the power of circle$

b $A LaTex expression showing \beta = 60 to the power of circle$

c $A LaTex expression showing \beta = 45 to the power of circle$

d $A LaTex expression showing \beta = 50 to the power of circle$

e $A LaTex expression showing \beta = 40 to the power of circle$

f $A LaTex expression showing \beta = 70 to the power of circle$

Solve for the angle in degrees given the values

$A LaTex expression showing hyp = 11\\adj = 9\\\alpha = ? to the power of circle \\$

a $A LaTex expression showing \alpha = 15 to the power of circle$

b $A LaTex expression showing \alpha = 55 to the power of circle$

c $A LaTex expression showing \alpha = 25 to the power of circle$

d $A LaTex expression showing \alpha = 30 to the power of circle$

e $A LaTex expression showing \alpha = 35 to the power of circle$

f $A LaTex expression showing \alpha = 20 to the power of circle$

Solve for the angle in degrees given the values

$A LaTex expression showing opp = 2.8\\adj = 4\\\sigma = ? to the power of circle \\$

a $A LaTex expression showing \sigma = 50 to the power of circle$

b $A LaTex expression showing \sigma = 20 to the power of circle$

c $A LaTex expression showing \sigma = 35 to the power of circle$

d $A LaTex expression showing \sigma = 15 to the power of circle$

e $A LaTex expression showing \sigma = 45 to the power of circle$

f $A LaTex expression showing \sigma = 55 to the power of circle$

Solve for the angle in degrees given the values

$A LaTex expression showing opp = 8\\adj = 8\\\sigma = ? to the power of circle \\$

a $A LaTex expression showing \sigma = 35 to the power of circle$

b $A LaTex expression showing \sigma = 60 to the power of circle$

c $A LaTex expression showing \sigma = 65 to the power of circle$

d $A LaTex expression showing \sigma = 25 to the power of circle$

e $A LaTex expression showing \sigma = 40 to the power of circle$

f $A LaTex expression showing \sigma = 45 to the power of circle$

Solve for the angle in degrees given the values

$A LaTex expression showing adj = 10\\opp = 7\\\alpha = ? to the power of circle \\$

a $A LaTex expression showing \alpha = 35 to the power of circle$

b $A LaTex expression showing \alpha = 45 to the power of circle$

c $A LaTex expression showing \alpha = 30 to the power of circle$

d $A LaTex expression showing \alpha = 40 to the power of circle$

e $A LaTex expression showing \alpha = 25 to the power of circle$

f $A LaTex expression showing \alpha = 50 to the power of circle$

Solve for the angle in degrees given the values

$A LaTex expression showing adj = 8\\opp = 5.6\\\theta = ? to the power of circle \\$

a $A LaTex expression showing \theta = 35 to the power of circle$

b $A LaTex expression showing \theta = 50 to the power of circle$

c $A LaTex expression showing \theta = 30 to the power of circle$

d $A LaTex expression showing \theta = 20 to the power of circle$

e $A LaTex expression showing \theta = 40 to the power of circle$

f $A LaTex expression showing \theta = 55 to the power of circle$