This math topic focuses on solving for the areas of triangles using the sine function, engaging with the formula involving two sides and the sine of the included angle. It is designed to help students develop skills in setting up trigonometric equations to find missing heights in various triangles, as part of a broader study on solving triangles. Each question presents a visual representation of a triangle with specific dimensions and angles, and students need to calculate the unknown height indicated in the image.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Area from Sine - Setup
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Solve for the height indicated
Trigonometry - Area from Sine - Setup Worksheet
| Math worksheet on 'Trigonometry - Area from Sine - Setup (Level 1)'. Part of a broader unit on 'Trigonometry - Solving Triangles' Learn online: app.mobius.academy/math/units/trigonometry_solving_triangles/ |
1
| Solve for the height indicated |
a
| 7.1 |
b
| 7.6 |
c
| 9 |
d
| 10.5 |
e
| 8.6 |
f
| 9.5 |
2
| Solve for the height indicated |
a
| 9.7 |
b
| 10.1 |
c
| 8.4 |
d
| 8.8 |
e
| 6.3 |
f
| 9.3 |
3
| Solve for the height indicated |
a
| 9.9 |
b
| 10.4 |
c
| 7.8 |
d
| 8.3 |
e
| 8.8 |
f
| 11.4 |
4
| Solve for the height indicated |
a
| 4 |
b
| 4.6 |
c
| 5.1 |
d
| 5.4 |
e
| 4.8 |
f
| 6.4 |
5
| Solve for the height indicated |
a
| 8.4 |
b
| 9.7 |
c
| 10.2 |
d
| 9.3 |
e
| 8.9 |
f
| 7.5 |
6
| Solve for the height indicated |
a
| 3.1 |
b
| 3.3 |
c
| 3.9 |
d
| 4.4 |
e
| 4.6 |
f
| 4 |
7
| Solve for the height indicated |
a
| 3.4 |
b
| 4.5 |
c
| 5.2 |
d
| 3.8 |
e
| 5.4 |
f
| 4.1 |