Grade 10 · Math · Geometry

10th grade Use sine, cosine or tangent to find a missing side or a missing angle worksheet

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Use sine, cosine or tangent to find a missing side or a missing angle

Grade 10 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Noah draws a ladder against a wall as right triangle QVU, right angle at U. ∠Q = 38° and QV = 25 ft. How long is QU, to the nearest tenth?
Pia draws a tree and its shadow as right triangle CSH, right angle at H. ∠C = 41° and CH = 14 m. How long is HS, to the nearest tenth?
Ren draws a kite string as right triangle WDY, right angle at Y. ∠W = 58° and DW = 22 m. How long is DY, to the nearest tenth?
Tala draws a tent rope as right triangle SFH, right angle at H. ∠S = 63° and FS = 16 ft. How long is HS, to the nearest tenth?
Zee draws a roof slope as right triangle VGW, right angle at W. ∠V = 23° and VW = 35 ft. How long is GW, to the nearest tenth?
Ari draws a ramp as right triangle DFG, right angle at G. FG = 7 ft and DF = 16 ft. What is ∠D, to the nearest tenth of a degree?
Esme draws a tree and its shadow as right triangle CSH, right angle at H. HS = 9 m and CH = 13 m. What is ∠C, to the nearest tenth of a degree?
Jun draws a kite string as right triangle WDY, right angle at Y. DY = 10 m and DW = 21 m. What is ∠W, to the nearest tenth of a degree?
Kira draws a tent rope as right triangle SFH, right angle at H. HS = 17 ft and FS = 20 ft. What is ∠S, to the nearest tenth of a degree?
Luz draws a roof slope as right triangle VGW, right angle at W. GW = 5 ft and VW = 12 ft. What is ∠V, to the nearest tenth of a degree?

Find a side or an angle with trigonometry. Every version has 10 questions, and the answer key prints on the second page.

I can choose sin, cos or tan from the side I know and the side I want.
I can solve for a side when it is on top of the ratio or on the bottom.
I can find an angle with sin⁻¹, cos⁻¹ or tan⁻¹, with the calculator in degree mode.

Standard: G-SRT.C.8

inverse sine (sin⁻¹): The key that turns a sine ratio back into its angle.

degree mode: The calculator setting (DEG) that reads angles in degrees.

radian mode: Another angle unit (RAD); the wrong setting for these sheets.

to the nearest tenth: One digit after the point, rounded: 9.64 → 9.6.

Your child swapped the opposite and adjacent sides, so used the wrong ratio.

Your child divided when the unknown side was on top of the ratio.

Your child multiplied when the unknown side was on the bottom of the ratio.

Ask: which leg touches the marked angle?

Ask: if x ÷ 12 = 0.56, how do you find x?

Ask: if 9 ÷ x = 0.6, is x bigger or smaller than 9?

What is the most common mistake with use sine, cosine or tangent to find a missing side or a missing angle?

Your child swapped the opposite and adjacent sides, so used the wrong ratio.

How can I help my child with use sine, cosine or tangent to find a missing side or a missing angle?

Ask: which leg touches the marked angle?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records