Five towns A,B,C,D and E are such that B is on a bearing of 040^o and 6km from E.

Five towns A,B,C,D and E are such that B is on a bearing of 040^o and 6km from E. D is due west of E on a bearing of 340^o from E. A is due North of E on a bearing of 045^o from D. C is on a bearing of 250^o from B and due North of E.

(a) Make a scale drawing showing the positions of the five towns.(Use a scale of 1cm to represent 1km)
(b) Use your drawing to determine;
(i) the bearing and distance of B from A.
(ii) the bearing and distance of C from D.
(iii) the distance between A and E.

---

---

Wilfykil answered the question on September 3, 2019 at 08:01

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• The sides of a rectangle are increased by 10%. By what percentage is the area increased (Solved)
  

  The sides of a rectangle are increased by 10%. By what percentage is the area increased

  Date posted: September 3, 2019 .    Answers (1)

• Solve the following equation for x without using tables or calculators. (Solved)
  

  Solve the following equation for x without using tables or calculators.
  
  

  Date posted: September 3, 2019 .    Answers (1)

• Each interior angle of n-sided polygon is 350^o (Solved)
  

  Each interior angle of n-sided polygon is 350^o.
  (a) Find n.
  (b) What is the name of the polygon?

  Date posted: September 3, 2019 .    Answers (1)

• A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. (Solved)
  

  A milk vendor bought 20 litres of milk at Ksh.15 per litre and added 5 litres of water to the milk. If he
  sold the mixture at Ksh.18 per litre, what was the percentage profit.

  Date posted: September 3, 2019 .    Answers (1)

• The figure below shows the graph of velocity Vm/s against time t seconds of a car. (Solved)
  

  The figure below shows the graph of velocity Vm/s against time t seconds of a car. If the car traveled a
  distance of 32 metres, in the first four seconds, calculate the average velocity for the whole journey.
  

  Date posted: September 3, 2019 .    Answers (1)

• Find the integral values of x which satisfy the simultaneous inequalities. (Solved)
  

  Find the integral values of x which satisfy the simultaneous inequalities.
  
  3x-2<10+x <10+x

  Date posted: September 3, 2019 .    Answers (1)

• A sector of a circle of radius 10cm has an arc that subtends an angle of 270^o at the centre. (Solved)
  

  A sector of a circle of radius 10cm has an arc that subtends an angle of 270^o at the centre.
  Calculate the vertical height of the cone formed by the sector.

  Date posted: September 3, 2019 .    Answers (1)

• In the figure below MPN is a tangent to the circle at P. Find ?SPQ and ?NPQ, stating your reasons. (Solved)
  

  In the figure below MPN is a tangent to the circle at P. Find angle SPQ and angle NPQ, stating your reasons. Angle SRQ=120^o and angle PQR=62^o
  
  

  Date posted: September 3, 2019 .    Answers (1)

• The line passing through the points P(5, b), Q(2,3) is parallel to the line 2y=-x+2. determine the value of b. (Solved)
  

  The line passing through the points P(5, b), Q(2,3) is parallel to the line 2y=-x+2. Determine the value
  of b.

  Date posted: September 3, 2019 .    Answers (1)

• Simplify the expression (Solved)
  

  Simplify the expression
  

  Date posted: September 3, 2019 .    Answers (1)

• Without using mathematical table of calculator, evaluate: (Solved)
  

  Without using mathematical table of calculator, evaluate:
  

  Date posted: September 3, 2019 .    Answers (1)

• Find the integral values that satisfy the inequalities (Solved)
  

  Find the integral values that satisfy the inequalities
  

  Date posted: September 3, 2019 .    Answers (1)

• Kamau bought five exercise books and three geometrical sets for sh.725. (Solved)
  

  Kamau bought five exercise books and three geometrical sets for sh.725. If he had bought four similar exercise books and five geometrical sets, he would have paid sh.375 more. How much would he pay for two exercise books and six geometrical sets.

  Date posted: September 3, 2019 .    Answers (1)

• Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm. (Solved)
  

  Find the percentage error in the perimeter of a regular polygon whose side is 15.0cm.

  Date posted: September 3, 2019 .    Answers (1)

• Simplify (Solved)
  

  Simplify
  

  Date posted: September 3, 2019 .    Answers (1)

• Evaluate (Solved)
  

  Evaluate
  

  Date posted: September 3, 2019 .    Answers (1)

• The table below shows monthly income tax rates. (Solved)
  

  The table below shows monthly income tax rates.
  
  
  Mrs. Wanjala earns a monthly salary of Ksh.15,000 and a taxable travel allowance of Ksh. 5,000 per month. She is also provided with a house by the institution for which she pays a nominal rent of Ksh.1000 per month.
  (a) Calculate the employees taxable income every month.
  (b) Calculate the employees monthly total tax payable
  (c) If the employee is entitled to a personal relief of Ksh.900 per month and a non taxable medical
  allowance of Ksh.2,000. Calculate her net monthly income.

  Date posted: September 2, 2019 .    Answers (1)

• (a) Complete the table given below for (Solved)
  

  (a) Complete the table given below for
  
  
  (b) On the grid provided draw the graph of y=x³- 4x²+x+6. Use a scale of 1cm to represent 2 units of the y-axis and 2cm to represent 1 unit on the x-axis.
  
  (c) Use your graph to solve the equation. x³- 4x² + x= - 6
  
  (d) By drawing a suitable straight line on the same axis estimate the roots of the equation.
  3x³-12x²-15x + 21 = 0

  Date posted: September 2, 2019 .    Answers (1)

• Two ships leave a harbor K at the same time. One ship takes a course of 030^o over a distance of 60km to a position... (Solved)
  

  Two ships leave a harbor K at the same time. One ship takes a course of 030^o over a distance of 60km to a position P. The other ship sails 100km on a bearing of 110^o to position Q.
  
  (a) Calculate:
  (i) Distance PQ.
  (ii) Angle PQ.
  (iii) The bearing of Q from P
  
  (b) Both ships take t hours to reach their destinations. The speed of the faster ship is 20km/hr.
  Find:
  (i) The value of t
  (ii) the speed of the slower ship.

  Date posted: September 2, 2019 .    Answers (1)

• (a) Draw x and y axes for values of x from -8 to 16 and y from -10 to 16 using a scale of 1cm... (Solved)
  

  (a) Draw x and y axes for values of x from -8 to 16 and y from -10 to 16 using a scale of 1cm to 2
  units. On your graph draw a triangle with vertices P (6,-8), Q(2,14) and R(9,13)
  
  (b) Triangle P¹Q¹R¹ is the image of PQR under a transformation whose matrix is .
  Write down the coordinates of P¹Q¹R¹. Hence describe the transformation mapping PQR onto P¹Q¹R¹.
  
  (c) A reflection of PQR in the line x=0 gives triangle P¹¹Q¹¹R¹¹. If P¹Q¹R¹ is mapped onto P¹¹Q¹¹R¹¹ by a rotation about (0,0). Find the angle of rotation.
  
  

  Date posted: September 2, 2019 .    Answers (1)