Real-Life Applications of Sines and Cosines in Triangles

Real-Life Applications of Sines and Cosines in Triangles

10th Grade

10 Qs

quiz-placeholder

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Real-Life Applications of Sines and Cosines in Triangles

Real-Life Applications of Sines and Cosines in Triangles

Assessment

Quiz

English, Mathematics

10th Grade

Hard

CCSS
HSG.SRT.D.10, HSG.SRT.D.9, HSG.SRT.D.11

Standards-aligned

Created by

Anthony Clark

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangle has two sides measuring 8 cm and 10 cm, with an included angle of 45 degrees. Calculate the length of the third side using the law of cosines.

c ≈ 5.00 cm

c ≈ 7.07 cm

c ≈ 9.50 cm

c ≈ 10.50 cm

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In triangle ABC, angle A measures 30 degrees, side a is 12 cm, and side b is 15 cm. Use the law of sines to find the measure of angle B.

45 degrees

60 degrees

25 degrees

38.68 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A boat sails from point A to point B, creating a triangle with point C, where angle A is 60 degrees, side a is 5 km, and side b is 7 km. Find the distance from point B to point C using the law of sines.

5.5 km

7.5 km

4.8 km

6.2 km

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangle has sides of lengths 7 m, 9 m, and an angle of 50 degrees opposite the 7 m side. Use the law of cosines to find the length of the third side.

9.75 m

7.05 m

6.50 m

8.25 m

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In a triangle, angle A is 45 degrees, side a is 10 m, and side b is 14 m. Calculate angle B using the law of sines.

30 degrees

49.46 degrees

75 degrees

60 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A ladder leans against a wall, forming a triangle with the ground. If the ladder is 15 ft long and makes a 70-degree angle with the ground, find the height the ladder reaches on the wall using the law of sines.

14.095 ft

10.8 ft

16.2 ft

12.5 ft

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A triangular park has sides measuring 10 m, 14 m, and 18 m. Use the law of cosines to find the largest angle in the triangle.

102.45 degrees

78.90 degrees

95.74 degrees

85.12 degrees

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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