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 - Challenge Me

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

Ren looks down from a 45 m lighthouse tower at a boat. The angle of depression is 17°. How far is the boat from the base, to the nearest tenth?
Tala looks down from a 21 m cliff at a towel on the beach. The angle of depression is 26°. How far is the towel from the cliff's base, to the nearest tenth?
Ari looks down from the 15 m school roof at a bike at an angle of depression of 42°. How far is the bike from the building, to the nearest tenth?
Bo's eyes are 1.5 m above the ground, 20 m from a tree. The angle of elevation to the treetop is 38°. How tall is the tree, to the nearest tenth?
Esme's eyes are 1.6 m up, standing 35 m from a tower. The angle of elevation to the top is 26°. How tall is the tower, to the nearest tenth?
Jun's eyes are 1.2 m up, 15 m from a house. The angle of elevation to the chimney top is 51°. How high is the chimney top, to the nearest tenth?
Kira's eyes are 1.4 m up, 50 m from a castle tower at a fair. The angle of elevation to its top is 19°. How tall is it, to the nearest tenth?
Luz's sketch of a ramp is right triangle DFG: right angle at G, ∠D = 28°, DF = 16 ft. What are ∠F, FG and DG to the nearest tenth, in order with commas?
Noah's sketch of a kite string is right triangle DFG: right angle at G, ∠D = 57°, DF = 40 m. What are ∠F, FG and DG to the nearest tenth, in order with commas?
Pia's sketch of a tent rope is right triangle DFG: right angle at G, ∠D = 32°, DF = 9 ft. What are ∠F, FG and DG to the nearest tenth, in order with commas?

10th grade Solve a right triangle, and trigonometry word problems worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

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

What your child will learn

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

Words to know

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.

Common mistakes

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.

What to say

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?

Questions parents ask

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.

More geometry

See all Geometry

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