AnswersFall 24 GMS Geometry Concepts and Connections BLaw of Sines (Sec 8-3)

Law of Sines Answers

16 verified answers2 views
1
Free Preview

Which expression gives the exact value of t?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
2
Free Preview

10.33✔ 12.4916.2618.13

A
10.33
B
✔ 12.49
C
16.26
D
18.13
3

Question text not available

Answer:

8.53

4

39✔ 5598125

A
39
B
✔ 55
C
98
D
125
5

Which equation is equivalent to the equationb sin(A) = a sin(B)?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

Answers:
The distance from ship A to the submarine is about feet.:1,084.18
The distance from ship B to the submarine is about feet.:1,270.69
7

In △MNO, m = 20, n = 14, and m∠M = 51°. How many distinct triangles can be formed given these measurements?

A
There are no triangles possible.
B
There is only one distinct triangle possible, with m∠N ≈ 33°.
C
There is only one distinct triangle possible, with m∠N ≈ 147°.
D
There are two distinct triangles possible, with m∠N ≈ 33° or m∠N ≈ 147°.
8

Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.

Answers:
Blank 1:1
Blank 2:0
9

Determine the measures of all unknown angles and side lengths of ΔPQR. Round side lengths to the nearest hundredth.

Question illustration
Answers:
Blank 1:114350
Blank 2:5.74
Blank 3:8.53
10

Question text not available

Answers:
Blank 1:114369
Blank 2:0
11

When using the law of sines, why can the SSA case result in zero, one, or two triangles? Explain.

Answer:

The SSA case is known as the ambiguous case because the given dimensions do not always uniquely determine a single triangle. If the side opposite the given angle is shorter than the altitude of the triangle, no triangle can be formed. If the side is exactly equal to the altitude or is longer than or equal to the other given side, only one triangle is formed. If the side is longer than the altitude but shorter than the adjacent side, it can intersect the third side at two different points, creating two distinct triangles.

12

Which measurements are correct? Round side lengths to the nearest hundredth. Check all that apply.

A
m∠A = 57°
B
m∠B = 15°
C
c ≈ 10.89 ft
D
h ≈ 8.09 ft
E
h ≈ 31.28 ft
13

921.031,084.18✔ 1,270.69X 1,598.05

A
921.03
B
1,084.18
C
✔ 1,270.69
D
X 1,598.05
14

Question text not available

Answer:

5.74

15

Question text not available

Answer:

0

16

Sample Response: If you have SSA, then the third side determines the triangle. If it is too short to intersect the other side, then it does not form a triangle. The third side can also be just the right length to meet the other side, making one triangle. Finally, the third side might be long enough to intersect the other side at two different points, creating two triangles. What did you include in your response? Check all that apply.When the third side of the triangle is too short to intersect t

A
When the third side of the triangle is too short to intersect the other side, no triangles can be formed.
B
When the third side is just long enough to meet the other side at one point, one triangle is formed.
C
When the third side is long enough to intersect the other side at two points, two triangles are formed.

Did you find these answers helpful?

More from this Course

Assignment
23 verified answers

Introduction to Circles

Assignment
28 verified answers

Law of Sines

Assignment
14 verified answers

Law of Sines