G.35.e

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems, including finding areas of regular polygons.

Example Problems
A ‑foot ladder leans against a vertical wall. The base of the ladder is feet from the wall.
How high up the wall does the ladder reach?
A flagpole broke in a storm. 9 meters of it remain upright, while the top now touches the ground 40 meters from the base.
How tall was the flagpole before it broke?
A rectangular television screen is tall and wide.
What is the length of the screen's diagonal (the advertised screen size)?
Khan Academy Resources
Intro to inverse trig functionsSolving for a side in right triangles with trigonometryAngles of elevation and depressionTrigonometric ratios in right trianglesRight triangle trigonometry reviewSpecial right triangles reviewHypotenuse, opposite, and adjacentSolve for a side in right trianglesSpecial right trianglesTrigonometric ratios in right trianglesPythagorean theorem challengeRelate ratios in right trianglesTrig values of special anglesSolve for an angle in right trianglesTrig values of π/6, π/4, and π/3Right triangle trigonometry word problemsTrig identities from reflections and rotationsSolving for a side in right triangles with trigonometryTrigonometric ratios in right trianglesSpecial right triangles proof (part 2)Special right triangles proof (part 1)30-60-90 triangle example problemArea of a regular hexagonMulti-step word problem with Pythagorean theoremSine & cosine of complementary anglesTrig values of π/4Right triangle word problemCosine, sine and tangent of π/6 and π/3Using right triangle ratios to approximate angle measureUsing complementary anglesTrig word problem: complementary angles
Goblins

1-on-1 AI tutoring aligned to G.35.e. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →