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9-12 Geometry Unit 4 Lesson 7

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 7

Applying Ratios in Right Triangles

Geometry

Practice

Problem 1
Student Task Statement
Technology required. Mai is 80 feet away from the Eiffel Tower. To see the top, she has to look up at an angle of 85.8 degrees. How tall is the Eiffel Tower?

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Problem 2

Student Task Statement

Technology required. Find the unknown measurements of the right triangle.

<p>Right triangle A B C. B C is 12 units, angle A C B is 90 degrees, angle B A C is 27 degrees.</p>

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Problem 3

Student Task Statement

Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look up at a 50-degree angle to see the top of the arch. How far away from the base of the arch is she standing?

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Problem 4

ForLesson 6: Working with Trigonometric Ratios

Student Task Statement

According to the figure, which equation is true?

<p>Right triangle ABC. Hypotenuse =x. Angle A=32 degrees. Side BC = 8 point 5. </p>

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Problem 5

ForLesson 5: Working with Ratios in Right Triangles

Student Task Statement

Kiran is flying a kite. He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and makes a 45-degree angle with the ground. How high is the kite?

<p>Right triangle. Hypotenuse = 12 feet. One angle = 45 degrees. One angle labeled with a kite.</p>

12 ft
ft
ft
24 ft

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Problem 6

ForLesson 4: Ratios in Right Triangles

Student Task Statement

Match the ratio of side lengths to its corresponding angle measure.

adjacent leg hypotenuse = 0.139
opposite leg adjacent leg = 0.249
opposite leg hypotenuse = 0.469
adjacent leg hypotenuse = 0.682
opposite leg hypotenuse = 0.848

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Problem 7

ForLesson 16: Finding All the Unknown Values in Triangles

Student Task Statement

In the right triangles shown, the measure of angle is the same as the measure of angle . What is the length of side ?

<p>Right triangles A B C and B D E. Angles A B C and E B D congruent. Side lengths as follow: A C, 5. A B, 13. D E, 3.</p>

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Lesson 7 Resources

Student Materials