Grade 10 · Math · Geometry

10th grade Solve a right triangle, and trigonometry word problems worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Solve a right triangle, and trigonometry word problems

Grade 10 Math Worksheet - Building Confidence

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

Ren's ramp meets the ground at ∠D = 23°. The right angle is at G, under the top end F. What is ∠F?
Zee's kite string makes ∠D = 56° with the ground. The kite F is straight above G, a right angle. What is ∠F, between the string and the line down?
Ari's tent rope makes ∠D = 68° with the ground. The pole stands at G, a right angle. What is ∠F, between the rope and the pole?
Bo leans a 16 ft ladder on a wall at 72° to the ground. The sketch labels the ladder as the hypotenuse. How high up the wall does it reach, to the nearest tenth?
Esme's 12 ft ramp makes 13° with the ground. The sketch labels the ramp as the hypotenuse. How far along the ground does it run, to the nearest tenth?
A tree's shadow is 9 m long when the sun is 58° up. Kira's sketch labels the shadow as the adjacent leg. How tall is the tree, to the nearest tenth?
Luz's 14 ft ramp rises 3 ft. The sketch labels the rise as opposite ∠D and the ramp as the hypotenuse. What is ∠D, to the nearest tenth of a degree?
Milo's kite flies 31 m up on 50 m of string. The sketch labels the height as opposite ∠D and the string as the hypotenuse. What is ∠D, to the nearest tenth of a degree?
Noah's 13 ft ladder stands with its foot 4 ft from the wall. The sketch labels the foot distance as adjacent to ∠D. What is ∠D, to the nearest tenth of a degree?
A 15 m tree casts an 11 m shadow. Pia's sketch labels the height as opposite ∠D and the shadow as adjacent. What is ∠D, to the nearest tenth of a degree?

Right triangle word problems. Every version has 10 questions, and the answer key prints on the second page.

I can draw the right triangle in a story and label it from the angle.
I can use angles of elevation and depression, including the eye height of the person looking.
I can find all the missing sides and angles of a right triangle.

Standard: G-SRT.C.8

angle of elevation: The angle you look up, measured from a level line.

angle of depression: The angle you look down, measured from a level line.

line of sight: The straight line from your eyes to the thing you see.

eye height: How far your eyes are above the ground.

solve a triangle: Find every missing side and angle.

Your child used 180° instead of 90° for the two acute angles of a right triangle.

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.

Ask: what do the two small angles add to?

Ask: which side of the sketch touches the angle?

Ask: if h ÷ 40 = 0.8, how do you find h?

What is the most common mistake with solve a right triangle, and trigonometry word problems?

Your child used 180° instead of 90° for the two acute angles of a right triangle.

How can I help my child with solve a right triangle, and trigonometry word problems?

Ask: what do the two small angles add to?

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.

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