7.9 Finding the Missing Angles of a Right Triangle using Trigonometry (Due 5/18/22)
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Last updated 12 months 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.
Concept Review
5 points
5
Question 1
1.
Solve each proportion.
Similar Polygons
Required
15 points
15
Question 2
2.
Find the length of each segment.
XY=_______
XZ=_______
XV=_______
Required
16 points
16
Question 3
3.
What is the correct order of steps to solve this similarity problem?
If △DEF ~ △HJG; find x
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:
Simplify the equation to
Replace the all the sides with numbers:
Rewrite the similarity statement so that you can line up the corresponding letters from each polygon:
Divide both sides of the equation by 9:
Cross multiply to make the equation:
x=20
Required
10 points
10
Question 4
4.
USE THE SIMILARITY RELATIONSHIP TO FIND THE INDICATED VALUE:
If △DEF ~ △HJG; find x
Notes--Page 16 Trigonometric Functions
Required
10 points
10
Question 5
5.
Find the value of x. Round to the nearest tenth.
Required
20 points
20
Question 6
6.
Find the value of each variable.
x=_______
y=_______
Required
10 points
10
Question 7
7.
Find the value of x. Round to the nearest tenth.
Required
10 points
10
Question 8
8.
Find the value of x. Round to the nearest tenth.
Required
20 points
20
Question 9
9.
Find the value of each variable to the nearest tenth.
x=_______
y=_______
Required
10 points
10
Question 10
10.
Find the length of DE to the nearest tenth.
Required
10 points
10
Question 11
11.
Find the value of each variable.
x=_______
y=_______
z=_______
Day 2 5/18/22
Find the Missing Angles
Required
10 points
10
Question 12
12.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 13
13.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 14
14.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 15
15.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 16
16.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 17
17.
Solve for x. Round to the nearest tenth.
Required
10 points
10
Question 18
18.
Solve for x. Round to the nearest tenth.
Required
10 points
10
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?
Required
10 points
10
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?
Required
10 points
10
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?