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9-12 Geometry Unit 4 Lesson 11

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K-5 Math 6-8 Math •9-12 Math

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

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

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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
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9-12

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Geometry
Algebra 2
Extra Support Materials for Algebra 1

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Unit 3
Unit 4
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Unit 6
Unit 7
Unit 8

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 11

Solving Problems with Trigonometry

Geometry

Practice

Problem 1

Technology required. Find the area of the isosceles trapezoid.

<p>Isosceles trapezoid. Bases 1 and 2 = 10 and 15 units. Base angles = 40 degrees </p>

Problem 2

Technology required. The sun is 62 degrees above the horizon. A tree casts a shadow that is 12 feet long. How tall is the tree?

<p>Right triangle. Height = tree height. Bottom side = shadow formed from tree = 12 units. Hypotenuse from top of tree to end of shadow.</p>

Problem 3

Technology required. A plane leaves the ground with an elevation angle of 6 degrees. The plane travels 10 miles horizontally.

How high is the plane at that time?
What is the distance of the plane’s path?

Problem 4

ForLesson 10: Using Trigonometric Ratios to Find Angles

Technology required. Find the unknown measurements.

<p>Right triangle A B D. A B is 10 units and B D is 3 units. Angle B A D is labeled theta and angle A D B is labeled alpha.</p>

Problem 5

ForLesson 10: Using Trigonometric Ratios to Find Angles

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 a safe ramp? Explain or show your reasoning.

<p>Right triangle. Base 100 units, height 20 units. A car is drawn above the hypotenuse.</p>

Problem 6

ForLesson 8: Sine and Cosine in the Same Right Triangle

Select all true equations.

\(\cos(37)=\sin(53)\)
\(\tan(37)=\tan(53)\)
\(\sin(37)=\cos(53)\)
\(\sin(37)=\sin(53)\)
\(\cos(\theta)=\sin(90-\theta)\)

Problem 7

ForLesson 7: Applying Ratios in Right Triangles

Technology required. Clare is flying a kite. She gets tired, so she stakes the kite into the ground. The kite is on a string that is 30 feet long and makes a 27-degree angle with the ground. How high is the kite?

30 feet
13.6 feet
26.7 feet
15.3 feet

Problem 8

ForLesson 2: Half a Square

What is the length of the diagonal of this square?

<p>Square. Side length labeled 4.</p>