10. Right Triangles & Trigonometry

Investigation: Pythagorean spiral

10.01 The Pythagorean theorem and its converse

10.02 Special right triangles

10.03 Sine, cosine, and tangent ratios

10.04 Solving for sides in right triangles

10.05 Solving for angles in right triangles

10.06 Angles of elevation and depression

10.07 Further applications of trigonometry

10.08 Extension: Law of sines

10.09 Extension: Law of cosines

10.10 Extension: Area of non-right triangles

United States of America NC

Math 2

10.04 Solving for sides in right triangles

Interactive practice questions

Find the value of $f$f, correct to two decimal places.

A right triangle with a $27$ -degree angle at its base is shown. The side opposite the $27$ -degree angle is labeled as "$f$f m" indicating a length in meters that is not specified. The side adjacent to the $27$ -degree angle is labeled " $8$ m," indicating a length of $8$ meters. The hypotenuse, connecting the vertex of the $27$ -degree angle to the right angle, is not labeled. The right angle is indicated by a small square at the triangle's base

Easy

2min

Find the value of $f$f, correct to two decimal places.

Easy

1min

Find the value of $f$f, correct to two decimal places.

Easy

1min

Find the value of $f$f, correct to two decimal places.

Easy

1min

Outcomes

NC.M2.A-CED.1

Create equations and inequalities in one variable that represent quadratic, square root, inverse variation, and right triangle trigonometric relationships and use them to solve problems

NC.M2.G-SRT.8

Use trigonometric ratios and the pythagorean theorem to solve problems involving right triangles in terms of a context.

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