4. Right Triangles & Trigonometry

4.01 Right triangles and the Pythagorean theorem

4.02 Special right triangles

4.03 Trigonometric ratios

4.04 Solving for sides in right triangles

4.05 Solving for angles in right triangles

4.06 Modeling with right triangles

4.07 Law of sines

4.08 Law of cosines

4.09 Areas of triangles

United States of America Tennessee

Integrated Math 3

4.05 Solving for angles in right triangles

Adaptive

Worksheet

Interactive practice questions

If $\cos\theta=0.146$cosθ=0.146, find $\theta$θ, writing your answer to the nearest degree.

Easy

1min

Given $\tan s=\frac{9}{5}$tans=95, evaluate $s$s to the nearest degree.

Easy

< 1min

If $\sin\theta=0.825$sinθ=0.825, find $\theta$θ, writing your answer to the nearest degree.

Easy

< 1min

Solve for the value of $x$x to the nearest degree.

Enter each line of work as an equation.

Easy

1min

Outcomes

M3.G.SRT.C.5

Solve triangles.*

M3.G.SRT.C.5.A

Know and use the Pythagorean Theorem and trigonometric ratios (sine, cosine, tangent, and their inverses) to solve right triangles in a real-world context.

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP5

Use appropriate tools strategically.

M3.MP6

Attend to precision.

M3.MP7

Look for and make use of structure.

M3.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace