Right Triangle Trigonometry Word Problems

Front

What is the sine ratio in a right triangle?

Back

In a right triangle, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the cosine ratio in a right triangle?

Back

In a right triangle, the cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the tangent ratio in a right triangle?

Back

In a right triangle, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

How do you find the depth of an anchor using trigonometry?

Back

Use the sine function: depth = hypotenuse * sin(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the formula to find the horizontal length of a ramp given the height and angle?

Back

Horizontal length = height / tan(angle).

Tags

CCSS.HSG.SRT.C.8

Front

What is the relationship between the angles in a right triangle?

Back

The sum of the angles in a right triangle is always 180 degrees, with one angle being 90 degrees.

Tags

CCSS.8.G.A.5

Front

How do you calculate an angle using the tangent ratio?

Back

Use the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Tags

CCSS.HSG.SRT.C.8

Front

What is the Pythagorean theorem?

Back

Tags

CCSS.8.G.B.8

Front

How do you find the measure of an acute angle in a right triangle?

Back

Use the cosine or sine function based on the known sides.

Front

What is the significance of the angle of inclination in a ramp problem?

Back

The angle of inclination affects the length and steepness of the ramp.