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7.8 Solving Trigonometric Functions (Due 4/15/25)

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Last updated 5 days ago
46 questions

Day 1 5/4/26

Essential Question: How do we use trigonometric functions to find the missing information of right triangles?

Learning Target: Students will be able to construct trigonometric ratios to solve real world problems involving right triangles.

Complete the entire document and use full sentences when prompted for full credit.

Responses without work will receive no points.

Remember to upload work from paper when prompted to receive credit.

Review: Right Triangle Proportions

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2
Question 1
1.
Which length completes the proportion?
_______
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10
G.SRT.5

Review: Pythagorean Formula

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5
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10
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10

Using Pythagorean Theorem to Find Missing Lengths

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5
Question 10
10.
Use the Pythagorean Theorem to find x. Round your answer to the nearest tenth.

x=_______
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5
Question 11
11.
Use the Pythagorean Theorem to find x. Round your answer to the nearest tenth.

x=_______
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5
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5
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15
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15
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10
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10

Day 2 5/5/26

Creating Trigonometric Ratios

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10
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30
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30
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5
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1
Question 2
2.
Which length completes the proportion?
_______
Question 3
3.

Error Analysis: A classmate wrote an incorrect proportion to find x. Explain and correct the error.


Question 4
4.

Review: The Pythagorean Theorem works for which triangle(s)?

Question 5
5.
The hypotenuse is the _______ side of a right triangle.
Question 6
6.

Review: Prove that the measurements 6 ft, 8 ft, and 10 ft make a right triangle.

Question 7
7.
Review:

Solve the equation.
w=_______
Question 8
8.
Review: Find the missing side of the right triangle.

a= 24

b=10

c=_______
Question 9
9.
Review: Find the missing side of the right triangle.

a = 8

b=_______

c = 10

Trigonometric Functions

Question 12
12.

Using a triangle, draw an example of a sine ratio.

Question 13
13.

Using a triangle, draw an example of a cosine ratio.

Question 14
14.

Using a triangle, draw an example of a tangent ratio.

Question 15
15.
Find the 3 trigonometric function for θ. Give each trig ratio as a fraction in simplest form.

sin θ=_______
cos θ=_______
tan θ=_______
Question 16
16.
Find the 3 trigonometric function for θ. Give each trig ratio as a fraction in simplest form.

sin θ=_______
cos θ=_______
tan θ=_______
Question 17
17.
Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form. (This mean is fraction form.)

sin θ=_______
cos θ=_______
tan θ=_______
Question 18
18.

Give each trig ratio as a fraction in simplest form.

Sin Q

Question 19
19.

Give each trig ratio as a fraction in simplest form.

Cos Q

Question 20
20.

Give each trig ratio as a fraction in simplest form.

Tan Q

Question 21
21.

Give each trig ratio as a fraction in simplest form.

sin R

Question 22
22.

Give each trig ratio as a fraction in simplest form.

Cos R

Question 23
23.

Give each trig ratio as a fraction in simplest form.

Tan R

Question 24
24.
Complete the three trigonometric ratios:
Other Answer Choices:
hypothenuse
adjacent
opposite
Question 25
25.
Find the value of each trigonometric ratio

sin A=_______
cos A=_______
tan A=_______

sin C=_______
cos C=_______
tan C=_______
Question 26
26.
Find the value of each trigonometric ratio

sin A=_______
cos A=_______
tan A=_______

sin C=_______
cos C=_______
tan C=_______
Question 27
27.
Find the value of each trigonometric ratio

sin X=_______
cos X=_______
tan X=_______

sin Z=_______
cos Z=_______
tan Z=_______
Question 28
28.
Find the length of the missing side

QR=_______

Find the value of each trigonometric ratio

sin R=_______
cos R=_______
tan R=_______

sin P=_______
cos P=_______
tan P=_______
Question 29
29.
Find the length of the missing side.

ST=_______

Find the value of each trigonometric ratio
sin R=_______
cos R=_______
tan R=_______

sin S=_______
cos S=_______
tan S=_______

Completing the Triangles

Question 30
30.

What is cos 65? (Round your answer to 2 decimal places.)

Question 31
31.

What is tan 48? (Round your answer to 2 decimal places.)

Question 32
32.

What is sin 32? (Round your answer to 2 decimal places.)

Question 33
33.

Solve for x. Round to the nearest tenth.

Question 34
34.

Solve for x. Round to the nearest tenth.

Question 35
35.

Solve for x. Round to the nearest tenth.

Question 36
36.

Solve for x. Round to the nearest tenth.

Question 37
37.

Solve for x. Round to the nearest tenth.

Question 38
38.

Solve for x. Round to the nearest tenth.

More "Completing the Triangle"

Question 39
39.

Use the Pythagorean theorem to solve for x. Round your answer to the nearest tenth.

Question 40
40.

Use the Pythagorean theorem to solve for x. Round your answer to the nearest tenth.

Question 41
41.

Find the missing side. Round your answer to the nearest tenth.

Question 42
42.

Solve for x. Round your answer to the nearest tenth.

Question 43
43.

Solve for x. Round your answer to the nearest tenth.

Question 44
44.

Solve for x. Round to the nearest hundredth.

Question 45
45.

Find KL. Round to the nearest hundredth.

Question 46
46.

A wire is attached from the top of a 30-foot tall telephone pole to a stake in the ground.
If the angle formed by the wire and the pole is 48°, what is the length of the wire? Round your answer to the nearest hundredth.