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Tutors Answer Your Questions about Length-and-distance (FREE)
Question 870507: The first platform is 8 feet 2 inches off the ground. The second platform is 7 feet 6 inches above the first platform. The shadow of the first platform stretches 6 feet 3 inches across the ground.
1. Find the length of the shadow of the second platform in feet and inches to the nearest inch.
My answer is : 5 feet 9 inches
2. A 5 foot 8 inch tall technician is standing on top of the second platform. Find the length of the
shadow the scaffold and technician cast in feet and inches to the nearest inch.
I am having trouble answering number 2. Can you please help me figure this answer out. Thank you.... Kay
Click here to see answer by MathTherapy(10711)   |
Question 1202261: construction crew wants to hoist a heavy beam so that it is standing up straight. They
tie a rope to the beam, secure the base, and pull the rope through a pulley to raise one end
A of the beam from the ground. When the beam makes an angle of 40o with the ground, the
top of the beam is 8 ft above the ground.
The construction site has some telephone wires crossing it.. The workers are concerned
that the beam may hit the wires. When the beam makes an angle of 60o with the ground,
the wires are 2 ft above the top of the beam. Will the beam clear the wires on its way to
standing up straight? Explain your answer
Thank you
Click here to see answer by ikleyn(53595)  |
Question 783813: Hello! :) Please answer my question. These are the directions: Find the other endpoint of the line segment with the given endpoint and midpoint.
Okay, so I have gotten a bunch of the questions, but now there are some with fractions involved. This is the one I need help with:
Endpoint: (5/3, 1 2/11) Midpoint: ( 1 7/12, 4 2/3)
The numbers spaced from the fraction are mixed numbers. I have found that in the other problems I didn't need the midpoint.
Thank you very much. Please reply soon because I have a lot of homework to do since I'm in high school. Thanks again! :)
Click here to see answer by MathTherapy(10711) |
Question 731820: 7 teams are in the Christmas Basketball Tournament. Each team will play each other only once.
~ graph a network of the tournament
~ how many games were played in total?
~ if 2 more teams were added to the tournament list, how many games would then be played?
~ show your work and explain your answer
Click here to see answer by ikleyn(53595) |
Question 1176989: EVOL is a cyclic quadrilateral, inscribed in a circle with center S. Given that the radius of this circle is 25 in. and angle VEL is 55 degrees, explain your work to find the following measurements.
a)Length of Major Arc VL
b)Angle measure of Minor Arc VL
c)Angle VOL
d)Length of Chord VL
Click here to see answer by ikleyn(53595) |
Question 1176989: EVOL is a cyclic quadrilateral, inscribed in a circle with center S. Given that the radius of this circle is 25 in. and angle VEL is 55 degrees, explain your work to find the following measurements.
a)Length of Major Arc VL
b)Angle measure of Minor Arc VL
c)Angle VOL
d)Length of Chord VL
Click here to see answer by CPhill(2189)  |
Question 1186272: On a wall, 60 1/2 cm wide, Oscar is going to hang three pictures beside each other, each measuring 9 1/3 cm wide. He will leave 3 1/2 cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture, and will centre these nails leaving 4 cm between each pair. How far, in cm, from the end of the wall(on either side) will the first nail be placed?
Click here to see answer by ikleyn(53595) |
Question 1186272: On a wall, 60 1/2 cm wide, Oscar is going to hang three pictures beside each other, each measuring 9 1/3 cm wide. He will leave 3 1/2 cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture, and will centre these nails leaving 4 cm between each pair. How far, in cm, from the end of the wall(on either side) will the first nail be placed?
Click here to see answer by CPhill(2189) |
Question 1210282: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10degrees off course to avoid a storm. If the pilot adjusts his course after 100 miles, how much farther is the flight than a direct route?
Click here to see answer by mccravyedwin(419)  |
Question 1210282: The distance between Miami and Orlando is about 220 miles. A pilot flying from Miami to Orlando starts the flight 10degrees off course to avoid a storm. If the pilot adjusts his course after 100 miles, how much farther is the flight than a direct route?
Click here to see answer by ikleyn(53595) |
Question 1210281: a 50m supporting wire is to be attached to a 75 m antenna. Because of surrounding buildings, sidewalks, and roadways, the wire must be anchored exactly 20 m from the base of the antenna. How high from the top of the antenna is the wire attached?
Click here to see answer by ikleyn(53595) |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by mccravyedwin(419) |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by AnlytcPhil(1810)  |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by ikleyn(53595) |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by greenestamps(13294)  |
Question 1210201: Let ABCD be a square with side length 1. A laser is located at vertex A, which fires a laser beam at point X on side BC, such that BX = 2/3. The beam reflects off the sides of the square, until it ends up at another vertex; at this point, the beam will stop. Find the length of the total path of the laser beam. The diagram is linked below
https://artofproblemsolving.com/texer/zqcbfanp
Click here to see answer by CPhill(2189) |
Question 1166192: Charlie has a collection of books that he wishes to display in a narrow
bookcase with shelves of width 56 cm. The thickest books are no more
than 16 cm wide and, when placed side by side, the entire collection takes
up 2.4m. Find, with justification, the minimum number of shelves required
to guarantee that all of the books can be displayed in the bookcase.
I'm confused with how to justify this. Can someone please help me? Thanks!
Click here to see answer by ikleyn(53595) |
Question 1173735: Airport B is 320 miles from airport A on a bearing of S40°E. A pilot wishes to fly from A to B, but to avoid a storm must first fly due East at a speed of 210 mph for an hour, and then from this point (call it C) turns to fly to B. Find the distance, to the nearest mile, and the bearing, to the nearest degree, that the pilot must fly to airport B?
Click here to see answer by CPhill(2189) |
Question 1181582: Given three lines 3x + 2y -16 = 0 …eq. 1, 2x - y + 1 = 0 …eq. 2 and x - 4y + 4 = 0 …eq. 3, let A be the point of intersection of lines …eq. 1 and …eq. 2, B be the point of intersection of lines …eq. 2 and …eq. 3, and C be the point of intersection of lines …eq. 3 and …eq. 1. Find the coordinates of circumcenter K of triangle ABC.
Click here to see answer by CPhill(2189) |
Question 1186854: Two vertices of a regular quadrilateral are A(0,4) and B(0,24). Which of the following could be the other two vertices?
a. C(4,4) and D(4,24)
b. C(24,4) and D(24,24)
c. C(8,24) and D(8,4)
d. C(0,8) and D(0,28)
Click here to see answer by greenestamps(13294) |
Question 1186854: Two vertices of a regular quadrilateral are A(0,4) and B(0,24). Which of the following could be the other two vertices?
a. C(4,4) and D(4,24)
b. C(24,4) and D(24,24)
c. C(8,24) and D(8,4)
d. C(0,8) and D(0,28)
Click here to see answer by ikleyn(53595) |
Question 1186854: Two vertices of a regular quadrilateral are A(0,4) and B(0,24). Which of the following could be the other two vertices?
a. C(4,4) and D(4,24)
b. C(24,4) and D(24,24)
c. C(8,24) and D(8,4)
d. C(0,8) and D(0,28)
Click here to see answer by CPhill(2189) |
Question 1209174: A farmer has fenced off his housing area, which is shown in the diagram. There is a post at each of the points A and B, to which the farmer sometimes attaches a 36 m rope that is tied to his 16 m donkey. This provides the donkey with either one of two grazing areas outside the housing area. Find the difference in the areas available for grazing, in m2.
Click here to see answer by math_tutor2020(3832) |
Question 1209174: A farmer has fenced off his housing area, which is shown in the diagram. There is a post at each of the points A and B, to which the farmer sometimes attaches a 36 m rope that is tied to his 16 m donkey. This provides the donkey with either one of two grazing areas outside the housing area. Find the difference in the areas available for grazing, in m2.
Click here to see answer by ikleyn(53595) |
Question 1209099: Write the equation for the perpendicular bisector of the line segment connecting the points (-3,12) and (-5,12) in the form y = mx + b.
Note: The perpendicular bisector of the line segment \overline{AB} is the line
that passes through the midpoint of \overline{AB} and is perpendicular to \overline{AB}.
Click here to see answer by ikleyn(53595) |
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