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>

to access Practice Problem Solutions.

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>

to access Practice Problem Solutions.

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?

to access Practice Problem Solutions.

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>

to access Practice Problem Solutions.

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>

to access Practice Problem Solutions.

Problem 6

ForLesson 8: Sine and Cosine in the Same Right Triangle

Select all true equations.

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

to access Practice Problem Solutions.

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

to access Practice Problem Solutions.

Problem 8

ForLesson 2: Half a Square

What is the length of the diagonal of this square?

to access Practice Problem Solutions.

Navigation

Gradeband

Course

Unit

Lesson

Settings

Audience

Assessment Access

Lesson | Practice | Loading...

Settings

Audience

Assessment Access

Solving Problems with Trigonometry

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Lesson 11 Resources