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9-12 Geometry Unit 4 Lesson 10

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

Unit

Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

Modeling Prompts

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 •Lesson 10 Lesson 11 Lesson 12

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12

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Unit 4, Lesson 10

Using Trigonometric Ratios to Find Angles

Geometry

Practice

Problem 1
Student Task Statement

Technology required. Ramps in a parking garage need to be both steep and safe. The maximum safe incline for a ramp is 8.5 degrees. Is this ramp safe? If not, provide dimensions that would make the ramp safe.

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Problem 2

Student Task Statement

Technology required. is a rectangle. Find the length of and the measures of and .

<p>Rectangle A B C D with diagonal A C. AB is 3 units, B C is 12 units. Angle B A C is labeled alpha and A C B is labeled theta.</p>

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Problem 3

Student Task Statement

Technology required.Find the unknown measurements.

<p>Right triangle abc. Side AB = 21 units, side CA= 35 units. Hypotenuse unknown </p>

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Problem 4

ForLesson 8: Sine and Cosine in the Same Right Triangle

Student Task Statement

Select all the true equations:

<p>Right triangle A B C. A C is x units, B C is y units, A B is 15 units. Angle B A C is 27 degrees, angle A B C is 63 degrees, and angle A C B is 90 degrees.</p>

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Problem 5

ForLesson 8: Sine and Cosine in the Same Right Triangle

Student Task Statement

What value of

makes this equation true?

-30
30
60
180

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Problem 6

ForLesson 7: Applying Ratios in Right Triangles

Student Task Statement

A rope with a length of 3.5 meters is tied from a stake in the ground to the top of a tent. It forms a 17-degree angle with the ground. How tall is the tent?

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Problem 7

ForLesson 6: Working with Trigonometric Ratios

Student Task Statement

Technology required. What is the value of

?

<p>Triangle D E F. Angle D is 40 degrees. Angle E is 50 degrees. Side D E is x. Side F D is 3.</p>

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Problem 8

ForLesson 1: Angles and Steepness

Student Task Statement

Find the unknown side in each triangle using any method. Check your answers using a different method.

<p>2 right triangles. On left, base = 3 units, height = x, hypotenuse = 5 units. On right, base = 9 units, height = 12 units, hypotenuse = y.</p>

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Problem 9

ForLesson 3: Congruent Triangles, Part 1

Student Task Statement

The triangles are congruent. Write a sequence of rigid motions that takes triangle

onto triangle

.

<p>Triangle ABC and ZXY.</p>

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Lesson 10 Resources

Student Materials