Missing angles in right triangles

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as 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

The cosine ratio is defined as 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

The tangent ratio is defined as 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 missing angle in a right triangle?

Back

Use the sine, cosine, or tangent ratios based on the known sides and apply inverse trigonometric functions if necessary.

Tags

CCSS.HSG.SRT.C.8

Front

If sin(θ) = opposite/hypotenuse, what is the value of opposite if sin(30°) = 1/2 and hypotenuse = 10?

Back

The opposite side = sin(30°) * hypotenuse = (1/2) * 10 = 5.

Tags

CCSS.HSG.SRT.C.6

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in any triangle is always 180°.

Tags

CCSS.8.G.A.5

Front

If one angle in a right triangle is 40°, what is the other non-right angle?

Back

The other angle = 180° - 90° - 40° = 50°.

Tags

CCSS.8.G.A.5

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one.

Tags

CCSS.5.NBT.A.4

Front

What is the formula to find the length of a side using the cosine ratio?

Back

cos(θ) = adjacent/hypotenuse, so adjacent = cos(θ) * hypotenuse.

Tags

CCSS.HSG.SRT.C.8

Front

If tan(θ) = opposite/adjacent, what is the value of adjacent if tan(45°) = 1 and opposite = 7?

Back

The adjacent side = opposite/tan(45°) = 7/1 = 7.

Tags

CCSS.HSG.SRT.C.8