G-SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Example Problems
A ‑meter ladder's bottom is sliding toward a wall at meters per minute. At a certain instant, the bottom of the ladder is meters from the wall.
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
A 13-meter ladder's bottom is being pulled away from a wall at 2 meters per minute. At a certain instant, the bottom of the ladder is 5 meters from the wall.
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
What is the rate of change of the distance between the top of the ladder and the ground at that instant (in meters per minute)?
A person stands meters east of an intersection and watches a car driving toward the intersection from the north at meters per second. At a certain instant, the car is meters from the intersection.
What is the rate of change of the distance between the car and the person at that instant (in meters per second)?
What is the rate of change of the distance between the car and the person at that instant (in meters per second)?
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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