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

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Last updated about 1 year ago
21 questions
Note from the author:
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.
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Concept Review

Question 1
1.

Solve each proportion.

Similar Polygons

Question 2
2.
Find the length of each segment.


XY=_______
XZ=_______
XV=_______
Question 3
3.

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

If △DEF ~ △HJG; find x


  1. x=20
  2. 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:
  3. Divide both sides of the equation by 9:
  4. Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
  5. Replace the all the sides with numbers:
  6. Simplify the equation to
  7. Cross multiply to make the equation:
Question 4
4.

USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:

If △DEF ~ △HJG; find x


Notes--Page 16 Trigonometric Functions

Question 5
5.

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

Question 6
6.
Find the value of each variable.
x=_______

y=_______

Question 7
7.

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

Question 8
8.

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

Question 9
9.
Find the value of each variable to the nearest tenth.
x=_______

y=_______

Question 10
10.

Find the length of DE to the nearest tenth.

Question 11
11.
Find the value of each variable.
x=_______

y=_______

z=_______

Day 2 5/18/22

Find the Missing Angles

Question 12
12.

Solve for x. Round to the nearest tenth.

Question 13
13.

Solve for x. Round to the nearest tenth.

Question 14
14.

Solve for x. Round to the nearest tenth.

Question 15
15.

Solve for x. Round to the nearest tenth.

Question 16
16.

Solve for x. Round to the nearest tenth.

Question 17
17.

Solve for x. Round to the nearest tenth.

Question 18
18.

Solve for x. Round to the nearest tenth.

Question 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?

Question 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?

Question 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?