SOLUTION: To find the distance across a river, a surveyor chooses points A and B, which are x = 100 ft apart on one side of the river (see the figure). She then chooses a reference point C o
Algebra.Com
Question 1171685: To find the distance across a river, a surveyor chooses points A and B, which are x = 100 ft apart on one side of the river (see the figure). She then chooses a reference point C on the opposite side of the river and finds that ∠BAC ≈ 82° and ∠ABC ≈ 52°. Approximate the distance from A to C. (Round your answer to the nearest foot.)
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
To find the distance across a river, a surveyor chooses points A and B, which are x = 100 ft apart on one side of the river (see the figure).
He then chooses a reference point C on the opposite side of the river and finds that ∠BAC ≈ 82° and ∠ABC ≈ 52°.
Approximate the distance from A to C. (Round your answer to the nearest foot.)
:
Find angle C: 180 - 82 - 52 = 46 degrees
Distance across the river = b
Use the law of sines
=
cross multiply
sin(46)*b = sin(52)*100
b =
b = 109.5 ~ 110 ft from A to C
RELATED QUESTIONS
Two points A and B lie on opposite sides of a river. Another point C is located on the... (answered by Fombitz)
Two surveyors are on the opposite sides of a swamp. To find the distance between them,... (answered by psbhowmick)
Two industrious Avenues students are trying to find the distance across the Pinheiros... (answered by CPhill)
You are measuring the width of the river. You place a stake on one side of the river,... (answered by Theo)
Points A and B are separated by a lake. To find the distance between them, a surveyor... (answered by Theo)
Karen and Jack are across a river from each other. Karen can look down the river
to a... (answered by Alan3354)
Points A and B are on opposite sides of a river. To find the distance between the points, (answered by jsmallt9)
To find the distance between two points A and B on opposite sides of a river, a surveyor... (answered by ankor@dixie-net.com)
To determine the distance across a lake, a surveyor selected two points P and Q, one on... (answered by math_tutor2020)