M.GHS.21
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Example Problems
A square tile measures 15 centimeters on each side.
What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
What is the diagonal distance across the tile?
Write your answer as a decimal rounded to the nearest hundredth.
Aria runs 5 miles east and then a certain number of miles north.
She ends 13 miles away from her starting position.
How many miles north did Aria run?
She ends 13 miles away from her starting position.
How many miles north did Aria run?
Miranda bikes 6 miles west and then a certain number of miles south.
She ends 10 miles away from her starting position.
How many miles south did Miranda bike?
She ends 10 miles away from her starting position.
How many miles south did Miranda bike?
Khan Academy ResourcesIntro 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 in 3DPythagorean theorem challengeSolve for an angle in right trianglesRight triangle trigonometry word problemsSolving 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 hexagonPythagorean theorem in 3DMulti-step word problem with Pythagorean theoremRight triangle word problemPythagorean theorem with isosceles triangleUsing right triangle ratios to approximate angle measure

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