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by Kuta Software LLC Algebra 2 Mr Henao Thursday May 23, 2013 ID: 1 Assignment on Heron's Formula and Trigonometry Find the area of each triangle  

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Heron's Formula Find the area of each triangle to the nearest tenth 1) Worksheet by Kuta Software LLC -6- Answers to Heron's Formula (ID: 1) 1) 22 3 in²

[PDF] Advanced Algebra 2018-19 P - Tamalpais Union High School District

Advanced Algebra 2018-19 Prep for Test S2 #7 Trigonometry Part II it assumes you have done the rest of the homework assigned earlier in the week If so, use Heron's formula to find the area of Round your answer to the nearest

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The Monday Tuesday assignment will be to review and take exam UAPTC MATH1303-01 2018 Spring Trigonometry In the following problem, the expression is the right side of the formula for cos (a Solving an SSA Triangle Using the Law of Sines (No Solution) 3 Use Heron's formula to find the area of a triangle

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Redwood High School. Department of MathematicsHard worker's name:___________________________________ Advanced Algebra 2018-19 Prep for Test S2 #7 Trigonometry Part II

This worksheet is not enough, it assumes you have done the rest of the homework assigned earlier in the week

Find the exact value of the indicated trigonometric function of Œ, if Œ is an angle in standard position whose terminal side contains the given point. 1) (21, 28); Find csc Œ. 1) 2) (3, 4); Find sin Œ. 2) Assume that ... is an angle in standard position whose terminal side contains the given point and that 0°

90°. Find the degree measure of ... to the nearest tenth of a

degree. 3) (7.6, 8.1) 3) 4) (13, 2) 4)

Solve the right triangle.

5) a =

3.8 m, B =

41.0°, C =

90°

5)

Find the missing parts of the triangle.

6) A =

128.7°

a =

1265 cm

b =

1365 cm

6) Find the area of triangle ABC with the given parts. 7) A =

31.9°

b =

14.2 in.

c =

5.8 in.

7)

Solve the problem.

8)

To find the distance AB

across a river, a distance BC =

238 m is laid off on

one side of the river. It is found that B =

105.1° and

C =

15.1°. Find AB.

8) Find the area of triangle ABC with the given parts. 9) a =

14.1 cm

b =

19.5 cm

c =

15.8 cm

9)

Provide an appropriate response.

10)

Without using the law of

cosines, explain why it is impossible to construct a triangle with lengths 7.7 cm, 11.4 cm, and 20.6 cm. 10) 11)

What happens if C = 90°

when the law of cosines is applied in the form c2 = a2 + b2 - 2ab cos C? 11) 12)

Given the SSS parts of a

triangle, is it better to use the law of sines or the law of cosines as the first step in solving the triangle?

Explain.

12) 13)

Given the ASA parts of a

triangle, is it better to use the law of sines or the law of cosines as the first step in solving the triangle?

Explain.

13) 14)

Given the SAS parts of a

triangle, is it better to use the law of sines or the law of cosines as the first step in solving the triangle?

Explain.

14) Decide whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. 15) a = 38
b = 30.1
c = 5.9 15) Determine the number of triangles with the given parts. 16) a =

3, b =

6, c =

8 16) 17) a = 10, c

4, †

27°

17)

1This worksheet assumes you a

Solve.

18)

To find the distance AB

across a river, a distance

BC of 795 m is laid off on

one side of the river. It is found that B =

107.7° and

C =

14.2°. Find AB.

18)

Find the area. Round your answer to the nearest

hundredth if necessary. 19)

Find the area of the

triangle with the following measurements: A =

50°, b =

31 ft, c =

14 ft 19) Use a reference angle to find the exact value of the expression. 20) sin (-45°) 20) 21)
cos 150° 21)
22)
sin -330° 22)
Decide whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. 23)
a = 36
b = 24.2
c = 9.8 23)
Determine the number of triangles with the given parts. 24)
a =

6, b =

9, c =

14 24)
25)
a = 8, c

6, †

11°

25)

Solve.

26)

Two airplanes leave an

airport at the same time, one going northwest at

402 mph and the other

going east at 332 mph.

How far apart are the

planes after 2 hours (to the nearest mile)? 26)
Determine the number of triangles with the given parts. 27)
a = 35, b =

53, ...

27°

27)
28)
a =

2, b =

4, c =

5 28)
29)
b =

9, ...

60°, ‡

134°

29)
30)
a = 10, c

4, †

17°

30)
Solve the triangle. If there is more than one triangle with the given parts, give both solutions. 31)
= 16.6° b = 9.52 a = 18.9 32)

114.4°

b = 5.34 a = 23.4

Solve the problem.

33)
The index of refraction for air, Ia, is 1.0003. The index of refraction for water, Iw, is 1.3. If Iw Ia sin A sin W, and A = 31.5°, find W to the nearest tenth.

Solve.

34)

The sides of a

parallelogram are 10 ft and 12 ft. One angle is

49° while another angle is

131°. Find the lengths of

the diagonals of the parallelogram (to the nearest tenth of a foot). 34)
2

Answer Key

Testname: ADV ALG WKST FOR TEST 8 TRIG PART II V5.2 1) 5 4 2) 4 5 3)

46.8°

4)

21.4°

5) A =

49.0°, b =

3.3 m, c =

5.0 m 6)

No solution

7)

21.8 in.2

8) 72 m
9)

110 cm2

10)

In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. Since

7.7 + 11.4

20.6, it is impossible to construct a triangle with the given sides.

11)

Since cos 90°

= 0, the equation becomes c2 = a2 + b2, which is the Pythagorean theorem. 12) Use the law of cosines, since at least one angle must be known to use the law of sines. 13) Use the law of sines. The law of cosines cannot be used unless at least two sides are known. 14)

Must use the law of cosines, since one side and its opposite angle are necessary for the law of sines.

15)

No triangle is formed.

16) 1 17) 1 18) 230 m
19)

166.23

ft2 20) 2 2 21)
3 2 22)
1 2 23)

No triangle is formed.

24)
1 25)
1 26)

1357 mi

27)
2 28)
1 29)
0 30)
1 31)
= 34.6°, ‡ = 128.8°, c = 26.0 ...' = 145.4°, ‡' = 18.0°, c' = 10.3 32)

No solution

33)

23.7°

34)

9.3 ft and 20 ft

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