Questions on Word Problems: Geometry answered by real tutors!

Tutors Answer Your Questions about Geometry Word Problems (FREE)

Question 280034: From the top of a 210 ft lighthouse, the angle of depression to a ship in the ocean is 21 degrees. How far is the ship from the base of the lighthouse to the nearest tenth of a foot?
Click here to see answer by MathTherapy(10801)

Question 272686: A boat is 1000 meters from a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff?
Click here to see answer by ikleyn(53742)

Question 271643: Find the cost of painting the outer surface of 24 oil containers at $2.50 per square meter, the dimensions of each container being 60 centimeters by 40 centimeters by 56 centimeters.
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Question 63293: Rashad wants to wallpaper the four walls of his bedroom. the room is rectangular and measures 11 feet by 13 feet. the cieling is 10 feet high. a roll of wallpaper at a store is 2.5 feet wide and 50 feet long. how may rolls should he buy?
Click here to see answer by ikleyn(53742)

Question 262612: Clint is constructing two adjacent rectangular dog pens. Each pen will be three times as long as it is wide, and the pens will share a common long side. If clint has 65 ft of fencing, what are the dimensions of each pen?
Click here to see answer by greenestamps(13326)

Question 1027518: A trench 5m�16m and 0.75m deep is dug. The earth taken out is spread uniformly to form a layer 12.5cm deep and 4m wide. What is the length of the layer?
Click here to see answer by josgarithmetic(39790)

Question 33038: Can you please solve this for me? I have to solve this using factoring:
The sum of the squares of two consecutive negative even integers is 340. Find the integers.

Click here to see answer by greenestamps(13326)

Question 1137073: Two cones are similar in shape. The ratio of the diameters of their bases is 2:7. The radius of the smaller cone is 4.5 inches. A) find the radius of the larger cone B) write the ratio of the height of the smaller cone to the height of the larger cone.
Click here to see answer by ikleyn(53742)

Question 1154763: Raul is 537 ft from the world's tallest totem pole in Albert Bay, Canada. He decides to place a mirror on the ground between himself and the totem pole to use the angle of reflection to estimate the pole's height indirectly. he places the mirror at a spot that is 519 ft from the pole and backs up to his original position. if Raul is 6 ft tall, how tall does he calculate the pole to be? (draw a picture to help you solve it.)
Click here to see answer by ikleyn(53742)

Question 1179513: The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).
Find the equation of the perpendicular bisector of the side QR.

Find the slope of the median of the triangle that passes through point R.

Find the slope of the altitude of the triangle that passes through point Q.
Click here to see answer by ikleyn(53742)

Question 1179642: 1.the classroom is 20 feet long and 30 feet wide.the principal decided that the tiles would look attractive in that class.if each tile is 24 inches long and 36 inches wide,how many tiles are needed to fill the classroom?
2.a rectangle is 4 times as long as it is broad.if the lenth is increased by 4 inches and the width is decreased by 1 inch,the area would be 60 squares inches.what were the dimensions of the original rectangle?
Click here to see answer by ikleyn(53742)

Question 1204853: In the diagram below, circle with centre O has a radius of 5 cm. Segment AT is tangent to the circle. AO = 13 cm, and AX = XY (this length is labeled m). Find the length of m.
https://ibb.co/6HKJNjR
Click here to see answer by ikleyn(53742)

Question 1206179: You are the sailmaker creating a pattern for your customer. Your customer wants a triangular sail with two colors such as yellow and white. Your customer wants the yellow part to have the sides as 3 meters, 6 meters, and 21 meters. If the longest side of the sail were 84 meters, how many meters of white cloth would you cut to complete the sail? Given: Upper side - 6 meters. Provide solution and Illustration
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Question 449831: a circle has a diameter with endpoints (5, -2) and (-13 -6) what are the coordinates of the center of the circle
Click here to see answer by mccravyedwin(419)

Question 449831: a circle has a diameter with endpoints (5, -2) and (-13 -6) what are the coordinates of the center of the circle
Click here to see answer by ikleyn(53742)

Question 446465: The vertices of the triangle are A(6,1), B(6,7) and C(10,7) show that the triangle is right angled and find it's sides?
Click here to see answer by ikleyn(53742)

Question 437230: A kite flying 20 ft. above the ground is attached to a string 80 ft. long. The string is being held by a person on the ground.if the kite fell vertically to the ground, how far away from the stake would the kite land?
Click here to see answer by greenestamps(13326)

Question 418623: .
If the sum of the lengths of the edges of a cube is 48 inches, the volume of the cube is?

Click here to see answer by ikleyn(53742)

Question 729493: A picec of wood is 1/2 metre long how many cm does another piece measure which is one and a half times as long?
Click here to see answer by josgarithmetic(39790)

Question 729493: A picec of wood is 1/2 metre long how many cm does another piece measure which is one and a half times as long?
Click here to see answer by ikleyn(53742)

Question 1165192: Work out the next 5 terms in the number sequences below and explain your calculation using 'n' as your first term; e.g.n+1,n+2,n+3,etc:
a. 297;290;276;255;.....
b. 1;10;100;.....
c. 3;9;81;.....
d. 24;25;27;30;.....
Click here to see answer by CPhill(2189)

Question 730259: A doorway is 77 inches tall and 36 inches wide. What is the length of the diagonal
from the top left corner to the bottom right corner of the doorway?

Click here to see answer by ikleyn(53742)

Question 732119: a street sign at the end of Dion's street is 8feet high. At a certain time, it casts a shadow of 6 feet long. Dions tied a rope to the top of the sign and fastened it in the ground at the end of the shadow, making a triangle with the sign, the rope, and the shadow. what is the length of the rope

Click here to see answer by ikleyn(53742)

Question 732251: A ball is tossed upward with an initial velocity of 122 ft/s from a platform that is 700 ft above the surface of the earth. After t seconds, the height of the ball above the ground is given by the equation h = -16t^2 + 122t + 700. What is the maximum height of the ball? Round to the nearest tenth of a foot.
Click here to see answer by ikleyn(53742)

Question 732950: markita bought a roll of carpet that is 8.5 feet wide. The maximum area the carpet will cover is 136 square feet. What is the longest possible length of the carpet?
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Question 733677: hi i need a line that is 125% long
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Question 739999: in the diagram ABC and AED are straight lines
BE and CE are parallel.Angles BAE=32 and angle EDC=68
work out the value of p
pls help me GOD will help u

Click here to see answer by ikleyn(53742)

Question 740073: A rectangular box has a base area of 12 square centimeters. The height of the box is 3 2/3 centimeters. What is the volume of the box?

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Question 744559: A square region with a side length of 2 inches lies within another, larger square region as shown above. If the larger square region has an area twice that of the smaller square region, then how much larger is the diagonal of the large square region than the diagonal of the small square region?
Click here to see answer by ikleyn(53742)

Question 574963: a pie-shaped (triangular) lake-front lot has a perimeter of 1200 ft. One side is 200 ft longer than the shortest side, while the third side is 400 feet longer than the shortest side. What are the lengths of all three sides?

Click here to see answer by ikleyn(53742)

Question 477556: A square has an area of x^2 + 6x + 9 find the length of a side. Make a sketch of the square Please help
Click here to see answer by ikleyn(53742)

Question 488212: The perimeter of this block of land is 72 m. Find:
a the length of the block
b the area of the block.
Click here to see answer by ikleyn(53742)

Question 495218: Please help me solve the word problem using
The Rational Zero Theorem
An open metal tank is to be made from a rectangular piece of stainless steel that measures 12 by 6 feet, by cutting out squares of the same size from each corner and bending up the sides. If the volume of the tank is to be 50 ft^3 , how large the square should be cut from each corner?
Click here to see answer by ikleyn(53742)

Question 556812: ANGLE ABE AND ANGLE CBD ARE VERTICAL ANGLES AND BOTH ARE COMPLEMENTARY WITH ANGLE FGH, IF m ANGLE ABE = (3x-1) AND m ANGLE FGH = (4x), what is m ANGLE CBD?
THIS IS THE CORRECT QUESTION..MESSED UP THE ONE BEFORE THIS
Click here to see answer by ikleyn(53742)

Question 1165224: Miles takes a 350-mile round-trip flight to visit his parents. To qualify for Gold status at Awesome Airlines, one must fly at least 4200 and less than 15400 miles each year. How many times would Miles need to visit his parents each year to attain Gold status? Express your answer in interval notation.
Click here to see answer by ikleyn(53742)

Question 1168317: The length of the base of the triangular sheet of canvass above the door of the tent is 3 ft. more than its height (altitude). The area is 5 ft2. Find the height and the length of the base of the triangle.
Click here to see answer by ikleyn(53742)

Question 1170888: The triangles ABC and XYZ are similar. The side AB is 5 cm long. The sides BC and
YZ are 7 cm and 3 cm longer than the side XY, respectively. Find the length of XY.
Click here to see answer by MathTherapy(10801)

Question 1209920: It has been done before on this website but the question was wrong:
Two identical squares with side of (1+sqrt(2))m overlap to form a regular octagon. What is the area of the octagon?
Click here to see answer by greenestamps(13326)

Question 1173661: Triangle A, B and C are three points on a horizontal field. A is due west of B, the bearing of B from C is 125 degrees, AB = 430m and BC = 460m.
At a certain instant, a hot air balloon is at a point which is directly above C.Given that the angle of elevation of the hot air balloon from B is 5.2 degrees, find the angle of elevation of the hot air balloon from A.
Click here to see answer by CPhill(2189)

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