Grade 10 · Math · Geometry

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

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Solve a right triangle, and trigonometry word problems

Grade 10 Math Worksheet

NameDate

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

Ren stands 40 m from a tree and looks up at its top at an angle of elevation of 39°. How tall is the tree, to the nearest tenth?
Tala stands 25 m from a tower. The angle of elevation to its top is 54°. How tall is the tower, to the nearest tenth?
Zee stands 60 ft from the school. The angle of elevation to the roof edge is 23°. How tall is the school, to the nearest tenth?
Ari stands 30 ft from a house. The angle of elevation to the roof peak is 41°. How high is the peak, to the nearest tenth?
Bo leans a 20 ft ladder on a wall at 76° to the ground. How high up the wall does the ladder reach, to the nearest tenth?
Esme's 24 ft wheelchair ramp makes 14° with the ground. How far along the ground does it run, to the nearest tenth?
Jun's kite flies on 65 m of string at 47° to the ground. How high is the kite, to the nearest tenth?
Kira sets an 18 ft ladder at 70° to the ground. How far is the foot of the ladder from the wall, to the nearest tenth?
Milo's kite flies 52 m high on 75 m of string. What angle does the string make with the ground, to the nearest tenth of a degree?
Noah stands 82 m from a 45 m tower. What is the angle of elevation to the top, 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.

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