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Biblioteka

7.9 Finding the Missing Angles of a Right Triangle using Trigonometry (Due 5/18/22)

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Essential Question:  What are trigonometric functions, and how can we use them to find the missing angles of a right triangle? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.

Essential Question:  What are trigonometric functions, and how can we use them to find the missing angles of a right triangle? Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle. Complete the entire document and show all work for full credit.

Concept Review

5

Similar Polygons

Obavezno
15
Obavezno
16
Obavezno
10

Notes--Page 16 Trigonometric Functions

Obavezno
10
Obavezno
20
Obavezno
10
Obavezno
10
Obavezno
20
Obavezno
10
Obavezno
10

Day 2 5/18/22

Find the Missing Angles

Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Pitanje 1
1.

Solve each proportion.

Pitanje 2
2.
Pitanje 3
3.

What is the correct order of steps to solve this similarity problem?

If △DEF ~ △HJG; find x

  1. Simplify the equation to

  2. Divide both sides of the equation by 9:

  3. JG is the side that has to be in the proportion created because it contains x, so create a proportion using corresponding sides from each triangle:

  4. x=20

  5. Cross multiply to make the equation:

  6. Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:

  7. Replace the all the sides with numbers:

Pitanje 4
4.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △DEF ~ △HJG; find x

Pitanje 5
5.

Find the value of x. Round to the nearest tenth.

Pitanje 6
6.
Pitanje 7
7.

Find the value of x. Round to the nearest tenth.

Pitanje 8
8.

Find the value of x. Round to the nearest tenth.

Pitanje 9
9.
Pitanje 10
10.

Find the length of DE to the nearest tenth.

Pitanje 11
11.
Pitanje 12
12.

Solve for x. Round to the nearest tenth.

Pitanje 13
13.

Solve for x. Round to the nearest tenth.

Pitanje 14
14.

Solve for x. Round to the nearest tenth.

Pitanje 15
15.

Solve for x. Round to the nearest tenth.

Pitanje 16
16.

Solve for x. Round to the nearest tenth.

Pitanje 17
17.

Solve for x. Round to the nearest tenth.

Pitanje 18
18.

Solve for x. Round to the nearest tenth.

Pitanje 19
19.

Jake leaned a 12-foot ladder against his house. If the angle formed by the ladder and the ground is 68° , how far from the base of the house did he place the ladder?

Pitanje 20
20.

A ramp is used to load suitcases on an airplane. If the cargo door is 7 feet from the ground and the angle formed by the end of the ramp and the ground is 25° , how long is the ramp?

Pitanje 21
21.

A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?