Questions on Geometry: Length, distance, coordinates, metric length answered by real tutors!

Tutors Answer Your Questions about Length-and-distance (FREE)

Question 1041842: A 70-inch piece of pipe is to be cut at two points A and B such that A and B are not on the ends of the pipe and the length from A to B is 42 inches. How many possibilities are there for obtaining three pieces of pipe of different lengths if the lengths are whole numbers?
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Question 1042148: Find an equation(s) of the line(s) containing (3, -1) and at a distance 4 from (-1, 3).
Click here to see answer by Aldorozos(172)

Question 1042149: Find an equations of the lines bisecting the angles from 3x � 4y � 2 = 0 to
4x � 3y + 4 = 0.

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Question 1042114: Find an equations of the lines bisecting the angles from 3x � 4y � 2 = 0 to
4x � 3y + 4 = 0

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Question 1042260: find the value of x, if any, that make the distance from A to B equal to the given distance. Given: A(x,4), B(-2,3); d=4
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Question 1042290: Law of Sines: Triangle question. What is the Distance from point A to point C, given two angles and one length?
Text of the problem reads:
Maya and Juan are standing on a riverbank, 230 meters apart, at points A and B respectively. (See figure). They want to know the distance from Maya (point A) to a house (point C). Maya (point A) measures angle A, angle BAC to be 48 degrees, Juan (point B) measures angle B, angle ABC to be 62 degrees. What is the distance from Maya (point A) to the house (point C)? Round your answer to the nearest tenth of a meter.
I have a .png to upload, but not sure how to upload the .png image.
Precalc_23.png
Since I cannot upload the image: here is a description to draw a diagram:
Draw a triangle and label the vertices A, B and C.
Label point A Maya
Label point B Juan
Label point C the house
Label angle BAC as 48 degrees.
Label angle ABC as 62 degrees.
Label side AB as 230 m
Label side AC as x (since that is what we are looking to find).
I am thinking the easiet way to find x is to use the Law of Sines. But I am not sure how to set up the equation for Law of Sines.
I know it will require that we know what the angle opposite side AB is. Using the fact that the three angles of a triangle add up to 180 degrees we should be able to use the two given angles to find the third one. The third angle, ACB, is 70 degrees.
The unknown angle ACB is 70 degrees: determined because we know a triangle is 180 degrees total. Therefore the given angles of 48 + 62 = 110, gives us the unknown angle located at point C. (Point C is the house in the diagram). 180 - 110 = 70 degrees for point C, (angle ACB). The question is asking what the distance is from point A (Maya) to point C (the house). Distance between point A and B is 230 m. Two sides of the triangle are not labeled with a distance.

Help is appreciated to complete the problem and answer What is the distance from Maya (point A) to the house (point C)?

Click here to see answer by josgarithmetic(39616)

Question 1043092: When a train travels at 5/8 of its real speed it takes 1 hr 12 minutes more than the actual time if travelled at the real speed.The actual time to be taken to reach the destination is = ?
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Question 1043144: Find the distance between (-3,4) and. (2,-8)
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Question 1043215: Mr. Hershman has purchased a farm that is in the shape of a rectangle. The dimensions of the piece of land are 3.9 km by 5.36 km. How many square kilometers did he buy, and how many hectares did he purchase?
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Question 1043392: three cubical chairs are to be made from a log 5 meters long and 1 meter radius. find the maximum edge of the chair
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Question 1043463: the midpoint of a line segment is (2,-1) and one end point of segment is (-1,3). find the coordinates of the other endpoint of the segment

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Question 1043689: Which of the lines 2x-y+3=0 and x-4y-7=0 is farther from origin?
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Question 1043689: Which of the lines 2x-y+3=0 and x-4y-7=0 is farther from origin?
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Question 1043695: P and Q are two points on the line x-y+1=0 and are at the distance 5 units from origin.Find the area of the triangle OPQ.
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Question 1043957: Amacha leaves her office at 8:00 am and drives to
a client's office at an average rate of 80kph.She
spends 2 hours in meeting,takes a 1 hour lunch
and returns to her own office,driving at an average
of 60kph.If she arrives back at her office at 3:00 pm,
how far apart are the two offices?
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Question 1044271: p(4,-6),q(6,5)

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Question 1044286: AB has endpoints A(-3,2) and B(3,-2)
Find AB to the Nearest tenth
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Question 1044500: A quadrant of a circle of radius 4 cm is cut from a paper and uniformly curved into a cone. Find the radius of this cone.
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Question 1044592: A can is in the shape of a right circular cylinder. The circumference of the base of the can is 12 inches, and the height of the can is 5 inches. A spiral strip is painted on the can in such a way that it winds around the can exactly once as it reaches from the bottom of the can to the top. It reaches the top of the can directly above the spot where it left the bottom. What is the length in inches of the strip?
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Question 1044589: A rectangular sheet of paper measure 12" by 9". One corner is folded onto the diagonally opposite corner and the paper is creased. What is the length in inches of the crease?
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Question 1044859: Two vehicles travelled (x + 4) kilometers. The first vehicle travelled for (x^2 � 16) hours while the second travelled for (2/x-4). Find the speed.

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Question 1044860: Two vehicles travelled (x + 4) kilometers. The first vehicle travelled for (x^2 � 16) hours while the second travelled for (2/x-4). Find the speed.
Click here to see answer by ikleyn(52775)

Question 1044963: Okay so I'm in geometry and we're doing Segment Addition Postulate, here's the question: Find MN if N is between M and P, MN= 3x+2, NP= 18, and MP= 5x.
Click here to see answer by Theo(13342)

Question 1045036: If v=<-6,10>, find 4v
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Question 1045118: The volume of a rectangular solid is 990 cu. cn and its totak area is 675 sq. cm. If its altitude is 20 cm, find the dimensions of the base.
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Question 1045189: finf the missing endpoint if M is the midpoint
m(-4,-6) and K(-7,-3); Find L
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Question 1045419: find the area of a triangle with the vertices ( 7.-9), (-1,6),(-1,-9)
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Question 1045419: find the area of a triangle with the vertices ( 7.-9), (-1,6),(-1,-9)
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Question 1045419: find the area of a triangle with the vertices ( 7.-9), (-1,6),(-1,-9)
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Question 1045494: find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)
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Question 1045494: find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)
Click here to see answer by ikleyn(52775)

Question 1045494: find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)
Click here to see answer by advanced_Learner(501)

Question 1045494: find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)
Click here to see answer by blaser211(6)

Question 1045494: find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)
Click here to see answer by MathTherapy(10551)

Question 1045534: find the radius of a circle with center at (-2,1), if the chord of length 10 is bisected at (-3,0)
with drawing pls.
Click here to see answer by ikleyn(52775)

Question 1045545: show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right triangle
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Question 1045545: show in a new way that the points (-1 -2), (5 4), (-3 0) are the vertices of a right triangle
Click here to see answer by blaser411(1)

Question 1045547: do the given points lie in a straight line? (-2,2), (5,-8), (-7,9)
Click here to see answer by Boreal(15235)

Question 1045546: locate the point which satisfies the given conditions.
Equidistant from (3,8), (5,2) and (-3,-4)
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Question 1045544: find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.
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Question 1045544: find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.
Click here to see answer by Boreal(15235)

Question 1045524: find the points of division given the segment joining (5 1) and (-3 -1) is to be divided into four equal parts.
drawing pls.
Click here to see answer by ikleyn(52775)

Question 1045518: do the given points lie in a straight line? (-2,2), (5,-8), (-7,9)
with drawing pls.
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