Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158^o

      

Four schools Wiobiero, Asumbi, Nyawita and Angiro are such that Wiobiero is 15km from Asumbi on a bearing of 158^o, Nyawita is to the west of Asumbi and 20km away while An’giro is to the South of Nyawita and on a bearing of 240^o from Wiobiero.

(a) Using a scale of 1:400,000 draw a scale diagram showing the relative positions of the four schools.
(b) Using your diagram determine the distance and bearing of Ang’iro from Asumbi
(c) A mast is to be erected so that its equidistant from Asumbi and Nyawita and 20km from Ang’iro on the same diagram show the position of the mast and find its distance from Wiobiero

  

Answers

---

---

Wilfykil answered the question on September 5, 2019 at 07:11

Next: Study the flow chart below and answer the questions that follow.
Previous: The table shows the marks obtained by 40 candidates in an examination

View More Mathematics Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• Mr. Ombogo the principal of Chiga secondary would wish to cover the floor of the new administration block using the square tiles.(Solved)
  

  Mr. Ombogo the principal of Chiga secondary would wish to cover the floor of the new administration block using the square tiles. The floor is a rectangle of sides 12.8m by 8.4m. Find the area of each of the largest tiles which can be used to fit exactly without breaking

  Date posted: September 5, 2019.  Answers (1)

• A train of length 80m crosses a bridge 20m long in 5 seconds.(Solved)
  

  A train of length 80m crosses a bridge 20 m long in 5 seconds. Calculate the average speed of the train in km/h

  Date posted: September 5, 2019.  Answers (1)

• Given that sin (3x-35)^o – cos (x+20)^o= 0 and x is an acute angle(Solved)
  

  Given that sin (3x-35)^o – cos (x+20)^o= 0 and x is an acute angle, find its value

  Date posted: September 5, 2019.  Answers (1)

• The diagram below shows the sketch of the curve y=x²-x-6(Solved)
  

  The diagram below shows the sketch of the curve y=x²-x-6
  
  
  Using the mid-ordinate rule with five rectangles, calculate the area of the shaded region

  Date posted: September 5, 2019.  Answers (1)

• Evaluate using mathematical tables only expressing your answer to 4 significant figures(Solved)
  

  Evaluate using mathematical tables only expressing your answer to 4 significant figures
  

  Date posted: September 5, 2019.  Answers (1)

• Patricia a student at Ongeti mixed Secondary bought 5 pens and 3 exercise books from Solving supermarket at Kshs. 135(Solved)
  

  Patricia a student at Ongeti mixed Secondary bought 5 pens and 3 exercise books from Solving supermarket at Kshs. 135, at the same time Jane her class mate also bought 4 pens and 5 exercise books and spent Ksh. 25 more than Patricia. Find the cost of each pen and exercise book

  Date posted: September 5, 2019.  Answers (1)

• The figure below shows a triangular prism ABCDEF. AF=CD=BE=18cm(Solved)
  

  The figure below shows a triangular prism ABCDEF. AF=CD=BE=18cm, The ends ABC and EDF are equilateral triangles of side 8cm. calculate the angle plane ABD makes with the lie CD
  

  Date posted: September 5, 2019.  Answers (1)

• In the circle drawn to scale below A,B,C and D are points on its circumference, Chord BC=AC and angle ADC=138^o(Solved)
  

  In the circle drawn to scale below A,B,C and D are points on its circumference, Chord BC=AC and angle ADC=138^o
  
  
  Giving reasons calculate the angle ACB

  Date posted: September 5, 2019.  Answers (1)

• Solve the simultaneous inequalities given below and list all the integral values of x(Solved)
  

  Solve the simultaneous inequalities given below and list all the integral values of x
  

  Date posted: September 5, 2019.  Answers (1)

• The figure below shows a triangle ABC not drawn to scale, D is a point on line AC.(Solved)
  

  The figure below shows a triangle ABC not drawn to scale, D is a point on line AC. Given that BC=14cm, DC=7cm and angle ABC=angle BDC. Find the length of AD
  

  Date posted: September 5, 2019.  Answers (1)

• Simplify completely by factorization(Solved)
  

  Simplify completely by factorization
  

  Date posted: September 5, 2019.  Answers (1)

• A solid block in the shape of a cylinder has a height of 14cm and weighs 22kg.(Solved)
  

  A solid block in the shape of a cylinder has a height of 14cm and weighs 22kg. If it is made of material of density 5g/cm3, find the radius of the cylinder. (Take pi=22/7)
  

  Date posted: September 5, 2019.  Answers (1)

• Mr. Ochuodho who deals in electronics sells a radio to a customer at Kshs. 1,440 after giving him a discount of 10%(Solved)
  

  Mr. Ochuodho who deals in electronics sells a radio to a customer at Kshs. 1,440 after giving him a discount of 10% but finds that he still makes a 20% profit. Find the profit Mr. Ochuodho would make if he does not give a discount.

  Date posted: September 5, 2019.  Answers (1)

• A straight line L1 is perpendicular to another line L2 whose equation is 3y+4x=12(Solved)
  

  A straight line L1 is perpendicular to another line L2 whose equation is 3y+4x=12. If the two lines
  meet at point P which lines on the x-axis, find:
  (i) The co-ordinate of point P
  (ii) The equation of line L1 in the form y=mx+c

  Date posted: September 5, 2019.  Answers (1)

• Calculate the standard deviation for the data below(Solved)
  

  Calculate the standard deviation for the data below
  5,8,13,12,7,10,8,15,3,14

  Date posted: September 5, 2019.  Answers (1)

• Evaluate without using a calculator(Solved)
  

  Evaluate without using a calculator
  

  Date posted: September 5, 2019.  Answers (1)

• Points A,B,C have the co-ordinates (3,1)(8,2) and (2,6) respectively(Solved)
  

  Points A,B,C have the co-ordinates (3,1)(8,2) and (2,6) respectively
  
  (a) Find the mid points of AB and AC
  (b) Determine the equations of the perpendicular bisector of AB and AC
  (c) Hence or otherwise determine the equation of a circle which passes through the points A, B and C

  Date posted: September 4, 2019.  Answers (1)

• Complete the table below by filling in the blank spaces for the functions y=sin(x+30)(Solved)
  

  (a) Complete the table below by filling in the blank spaces for the functions y=sin(x+30) and y= cos ½ x and draw their graphs on the same axes
  
  
  (b) Use your graph to solve
  (i) Sin (x+30)-cos ½ x=0
  (ii) Sin (x+30)=0
  (iii) Cos ½ x=-0.25

  Date posted: September 4, 2019.  Answers (1)

• The points P(1,5) Q(2,2) R(1,1) and S(4,2) are vertices of a quadrilateral PQRS(Solved)
  

  The points P(1,5) Q(2,2) R(1,1) and S(4,2) are vertices of a quadrilateral PQRS
  
  (a) On the grid provided, draw the quadrilateral PQRS
  (b) On the same grid draw P¹Q¹R¹S¹ the image of PQRS under a rotation of positive quarter turn about the origin. State the co-ordinates of P¹Q¹R¹ and S¹
  (c) The point P¹¹Q¹¹R¹¹S¹¹ are the images of P¹Q¹R¹S¹ under a reflection in the x-axis. On
  the same grid draw quadrilateral P¹¹Q¹¹R¹¹S¹¹ and state its co-ordinates
  (d) Quadrilateral P¹¹Q¹¹R¹¹S¹¹ is the image of PQRS under a certain reflection. On your graph draw the mirror line LL for the reflection and state its equation

  Date posted: September 4, 2019.  Answers (1)

• The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.(Solved)
  

  The figure below is a solid frustrum of a rectangular based pryramid AB=12cm, BC=10cm, EF=6cm FG=5cm, FB=8cm and vertical height 6cm.
  
  
  (a) Calculate the volume of the frustrum
  (b) Calculate the surface area of the frustrum

  Date posted: September 4, 2019.  Answers (1)