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Algebra 2 10.1-10.5 Review - Printable Mathematics Worksheets - Wayground

Algebra 2 10.1-10.5 Review

12 questions

10th - 10th Grade

Mathematics

Algebra 2 10.1-10.5 Review is a Grade 10 mathematics worksheet focused on solving right-triangle problems with the Pythagorean Theorem, trigonometric ratios, and inverse trigonometric functions. Its 12 questions include 4 multiple-choice items that ask students to select an appropriate method or evaluate an expression, plus 8 fill-in-the-blank problems requiring exact calculations and rounded answers. Students apply these methods to find missing sides and angles and solve real-world right-triangle problems involving a building, an extension ladder, and a kite. The worksheet reinforces choosing a suitable strategy, interpreting angles of elevation, and rounding results to the nearest tenth or whole number. It is a free printable worksheet with a complete answer key for Grade 10 Algebra 2 review, independent practice, or a short assessment.

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Worksheets

Algebra 2 10.1-10.5 Review

Total questions: 12

Name
Class
Date
1.

Which method would you use to solve for x.

a)

Cosine

b)

Sine

c)

Tangent

d)

Pythagorean Theorem

2.

What method would you use to solve for x?

a)

Inverse Sine
(sin-1)

b)

Inverse Cosine
(cos-1)

c)

Inverse Tangent

(tan-1)

d)

Pythagorean Theorem

3.

What is the value of x to the nearest tenth?

(a)  

4.

Solve for the missing angle to the nearest whole number.

(a)  

5.

From one point on the ground, the angle of elevation to the top of a building is 35 degrees. If the building is 50 feet tall, how far away is the point on the ground to the building to the nearest tenth.

(a)  

6.

A 22-foot extension ladder leaning against a building makes a 70◦  angle with the ground. 
How far up the building does the ladder touch?

(a)  

7.

Find the value of x to the nearest whole number.

(a)  

8.

Find cot⁡θ\cot\theta

a)

815\frac{8}{15}

b)

178\frac{17}{8}

c)

158\frac{15}{8}

d)

1715\frac{17}{15}

9.

If tan⁡θ=32\tan\theta=\frac{3}{2} , find sin⁡θ\sin\theta

a)

31313\frac{3\sqrt[]{13}}{13}

b)

21313\frac{2\sqrt[]{13}}{13}

c)

133\frac{\sqrt[]{13}}{3}

d)

132\frac{\sqrt[]{13}}{2}

10.

A boy flying a kite lets out 300 feet of string which makes an angle of 38o with the ground. Assuming that the string is straight, how high above the ground is the kite? Round your answer to the nearest tenth.

(a)  

11.

What is the value of x to the nearest tenth?

(a)  

12.

Find the vale of y to the nearest tenth?

(a)  

Answer Key

Algebra 2 10.1-10.5 Review

Total questions: 12

1.
d)

Pythagorean Theorem

2.
b)

Inverse Cosine
(cos-1)

3.
17.3
4.
37
5.
71.4
6.
20.7
7.
33
8.
c)

158\frac{15}{8}

9.
a)

31313\frac{3\sqrt[]{13}}{13}

10.
184.7
11.
98.1
12.
8.7

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FAQs

What does the Algebra 2 10.1-10.5 Review worksheet cover?

This Grade 10 worksheet reviews how to choose and apply the Pythagorean Theorem, sine, cosine, tangent, and inverse trigonometric functions to solve right-triangle problems. Across 4 multiple-choice and 8 fill-in-the-blank questions, students find missing sides and angles, handle angles of elevation, and round answers as directed.

How can I use this worksheet to teach right-triangle methods and angles of elevation?

Begin by reviewing how the known sides and angles determine whether students should use the Pythagorean Theorem, a trigonometric ratio, or an inverse function. Then model one application problem, such as finding a building’s distance from an angle of elevation, before having students solve the ladder and kite problems and explain why their chosen method fits.

What mistakes should I watch for when students complete this right-triangle review?

Watch for students choosing a regular trigonometric ratio when an inverse function is needed to find an angle, or using the Pythagorean Theorem when the given information calls for a ratio. In the building, ladder, and kite problems, students may also confuse the horizontal distance, vertical height, and hypotenuse, or round to the wrong place value.

How do I assign and grade this Algebra 2 review worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for the 12 questions. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app.

How can I differentiate this right-triangle worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or font size to make the multiple-choice prompts and fill-in-the-blank calculations easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the right-triangle review format.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, including downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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