ADDITIONAL TOPICS IN TRIGONOMETRYMaxSolving a word problem using the law of sinesEspañolAlonzo and Jane are standing on a riverbank, 110 meters apart, at points A and B respectively. (See the figure below.) Jane is 140 meters from a house locatedacross the river at point C. Suppose that angle A (angle BAC) is 40°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth ofa degree110 mAВ40°?140 mAaX-

Question
Asked Oct 8, 2019
1 views

see attached

ADDITIONAL TOPICS IN TRIGONOMETRY
Max
Solving a word problem using the law of sines
Español
Alonzo and Jane are standing on a riverbank, 110 meters apart, at points A and B respectively. (See the figure below.) Jane is 140 meters from a house located
across the river at point C. Suppose that angle A (angle BAC) is 40°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of
a degree
110 m
A
В
40°
?
140 m
Aa
X
-
help_outline

Image Transcriptionclose

ADDITIONAL TOPICS IN TRIGONOMETRY Max Solving a word problem using the law of sines Español Alonzo and Jane are standing on a riverbank, 110 meters apart, at points A and B respectively. (See the figure below.) Jane is 140 meters from a house located across the river at point C. Suppose that angle A (angle BAC) is 40°. What is the measure of angle B (angle ABC)? Round your answer to the nearest tenth of a degree 110 m A В 40° ? 140 m Aa X -

fullscreen
check_circle

Expert Answer

Step 1

Consider the given figure.

В
110 m
A
400
140 m
help_outline

Image Transcriptionclose

В 110 m A 400 140 m

fullscreen
Step 2

Formula used: Sine rule,

А
b
a
b
sin A
sin B
sin C
B
help_outline

Image Transcriptionclose

А b a b sin A sin B sin C B

fullscreen
Step 3

Now, applying the sine rul...

CA
АВ
ВС
sinC
sin A
sinB
110
140
CA
sinC
sin40 sinB
Solve
110
140
sinC
sin40
11
14
sinC
0.643
11x0.643
sin C
14
sin C 0.505
C = sin
(0.505)
C 30.33
help_outline

Image Transcriptionclose

CA АВ ВС sinC sin A sinB 110 140 CA sinC sin40 sinB Solve 110 140 sinC sin40 11 14 sinC 0.643 11x0.643 sin C 14 sin C 0.505 C = sin (0.505) C 30.33

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Trigonometry