Trigonometry - Side Length Ratios from Diagrams (Level 1)

This math topic focuses on using trigonometric ratios to solve for unknown side lengths in various geometric diagrams. Students practice calculating the sides of triangles using tangent, sine, and cosine functions given certain angles and other dimensions. Each question presents a different triangle diagram and requires students to apply trigonometric principles to express side lengths in ratio form. This set of problems is designed to help reinforce understanding of fundamental trigonometry concepts.

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Side Length Ratios from Diagrams

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Solve for the side length in ratio form

Ab6.2

Trigonometry - Side Length Ratios from Diagrams Worksheet

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Math worksheet on 'Trigonometry - Side Length Ratios 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
Solve for the side length in ratio form
a A LaTex expression showing b = tan(A) over 6.9
b A LaTex expression showing b = 6.9 over tan(A)
c A LaTex expression showing b = tan(A) over 3.5
d A LaTex expression showing b = {tan(A)} multiplied by 6.9
e A LaTex expression showing b = 3.5 over tan(A)
f A LaTex expression showing b = {tan(A)} multiplied by 6
2
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = {cos(A)} multiplied by 6.9
b A LaTex expression showing b = cos(A) over 6.9
c A LaTex expression showing b = {cos(A)} multiplied by 12
d A LaTex expression showing b = cos(A) over 12
e A LaTex expression showing b = 12 over cos(A)
f A LaTex expression showing b = 6.9 over cos(A)
3
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = sin(A) over 2.1
b A LaTex expression showing b = 2.1 over sin(A)
c A LaTex expression showing b = {sin(A)} multiplied by 2.1
d A LaTex expression showing b = 3 over sin(A)
e A LaTex expression showing b = {sin(A)} multiplied by 3.7
f A LaTex expression showing b = sin(A) over 3
4
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = 5 over tan(A)
b A LaTex expression showing b = tan(A) over 5.8
c A LaTex expression showing b = tan(A) over 5
d A LaTex expression showing b = 5.8 over tan(A)
e A LaTex expression showing b = {tan(A)} multiplied by 5.8
f A LaTex expression showing b = {tan(A)} multiplied by 5
5
Solve for the side length in ratio form
An svg image showing a math problem
a A LaTex expression showing b = {tan(A)} multiplied by 12
b A LaTex expression showing b = {tan(A)} multiplied by 17
c A LaTex expression showing b = 17 over tan(A)
d A LaTex expression showing b = 12 over tan(A)
e A LaTex expression showing b = tan(A) over 12
f A LaTex expression showing b = tan(A) over 17
6
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = tan(A) over 3.5
b A LaTex expression showing b = 3 over tan(A)
c A LaTex expression showing b = {tan(A)} multiplied by 3
d A LaTex expression showing b = 3.5 over tan(A)
e A LaTex expression showing b = tan(A) over 3
f A LaTex expression showing b = {tan(A)} multiplied by 1.7
7
An svg image showing a math problem
Solve for the side length in ratio form
a A LaTex expression showing b = cos(A) over 11
b A LaTex expression showing b = 11 over cos(A)
c A LaTex expression showing b = cos(A) over 13.1
d A LaTex expression showing b = 13.1 over cos(A)
e A LaTex expression showing b = {cos(A)} multiplied by 11
f A LaTex expression showing b = {cos(A)} multiplied by 17.1