Two aeroplanes, T and S leave an airport A at the same time.

      

Two aeroplanes, T and S leave an airport A at the same time. S flies on a bearing of 060⁰ at 750km/h while T flies on a bearing of 210⁰ at 900 km/h.

(a) Use a suitable scale, to draw a diagram showing the relative position of the aeroplanes
after two hours.

(b) Use your diagram to determine:
(i) the distance between the two aeroplanes.
(ii) the bearing of T from S.

(c) Aeroplane T later flew to the East at the same speed for one hour. Show its final position
on the diagram in (a) above.
Determine:
(i) Its final distance from A.
(ii) Its final bearing from S.

  

Answers

---

---

Wilfykil answered the question on August 20, 2019 at 06:08

Next: Given below are some of the balances extracted from the books of Kings Traders on 31st May 2018.
Previous: On 1st January 2019 Caleb traders had shs.110,000 in hand and shs 50,000 (cr) at bank. During the month, the following transactions took place: Jan 2nd...

View More Mathematics Questions and Answers | Return to Questions Index

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 figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top measuring 6 cm by 8cm. The slant edges...(Solved)
  

  The figure below shows a solid frustum with a rectangular base measuring 18cm by 24cm and the top
  measuring 6 cm by 8cm. The slant edges are each 26cm long.
  
  Determine:
  a) Height of the original pyramid.
  b) Volume of the frustum.
  c) Density in g/cm³ if the solid has a mass of 7.488kg

  Date posted: August 20, 2019.  Answers (1)

• Sketch and label the net of the prism shown below.(Solved)
  

  Sketch and label the net of the prism shown below.
  
  

  Date posted: August 20, 2019.  Answers (1)

• The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1).(Solved)
  

  The gradient of a curve at any point (x, y) is given by 3x² + 2x. If the curve passes through the point (-2, 1). Find its equation.

  Date posted: August 20, 2019.  Answers (1)

• In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If anglePSQ = 25^o...(Solved)
  

  In the figure below O is the centre of a circle and PS is the diameter. QR is parallel to PS. If angle PSQ = 25^o and angle POT = 120^o.
  
  
  a) Angle QRP
  b) Angle PTO
  c) Angle QPT
  d) Angle QPS
  c) Angle PTS

  Date posted: August 20, 2019.  Answers (1)

• A circle of radius 7 units has it’s centre at the point of intersection between the lines x + 2y + 1 = 0 and...(Solved)
  

  A circle of radius 7 units has it’s centre at the point of intersection between the lines x + 2y + 1 = 0 and 2x + 3y – 3 = 0. Find the equation of the circle expressing it in the form x² + y² + yx + fy + c = 0.

  Date posted: August 20, 2019.  Answers (1)

• Use the tables of squares, square roots and reciprocals only to find the value of(Solved)
  

  Use the tables of squares, square roots and reciprocals only to find the value of
  

  Date posted: August 20, 2019.  Answers (1)

• Represent the solution on a number line.(Solved)
  

  Solve the inequalities hence represent the solution on a number line.

  Date posted: August 20, 2019.  Answers (1)

• Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.(Solved)
  

  Show that the points P(3, 4), Q(4, 3) and R(1, 6) are collinear.

  Date posted: August 20, 2019.  Answers (1)

• Jecinta made a profit of 25% by selling a pair of shoes at kshs 1500. What percentage profit would she have made if she sold the...(Solved)
  

  Jecinta made a profit of 25% by selling a pair of shoes at kshs 1500. What percentage profit would she
  have made if she sold the same of shoes at 1600?

  Date posted: August 20, 2019.  Answers (1)

• The mean of five numbers is 20. The mean of the first three numbers is 16.(Solved)
  

  The mean of five numbers is 20. The mean of the first three numbers is 16. The fifth number is greater than the fourth by 8. Find the fifth number.

  Date posted: August 20, 2019.  Answers (1)

• If a = 3.2 cm b = 5.6 cm and c = 2.4cm. Find the percentage error in evaluating. ( a+ c) – b(Solved)
  

  If a = 3.2 cm b = 5.6 cm and c = 2.4cm. Find the percentage error in evaluating.
  ( a+ c) – b

  Date posted: August 20, 2019.  Answers (1)

• Find the values of a, b and c.(Solved)
  

  Given that Find the values of a, b and c.

  Date posted: August 20, 2019.  Answers (1)

• A form four class has 13 girls and 7 boys. The mean mark for the 13 girls is 48% while the mean mark for the...(Solved)
  

  A form four class has 13 girls and 7 boys. The mean mark for the 13 girls is 48% while the mean mark for the whole class is 41%. Calculate the mean mark for the 7 boys.

  Date posted: August 20, 2019.  Answers (1)

• Solve the equation 2x² + 3x = 5 by completing the square method.(Solved)
  

  Solve the equation 2x² + 3x = 5 by completing the square method.

  Date posted: August 20, 2019.  Answers (1)

• Given that 5^x = 7^y, find the ratio x : y(Solved)
  

  Given that 5^x = 7^y, find the ratio x : y

  Date posted: August 20, 2019.  Answers (1)

• Find the possible values of x in the equation 9x² = 27^{(2x+ 12)}(Solved)
  

  Find the possible values of x in the equation 9x² = 27^{(2x+ 12)}

  Date posted: August 20, 2019.  Answers (1)

• A car traveling at 104km/hr is 297m behind another car traveling at 71km/hr in the same direction. How long does it take the faster car...(Solved)
  

  A car traveling at 104km/hr is 297m behind another car traveling at 71km/hr in the same direction. How long does it take the faster car to overtake the slower one?.

  Date posted: August 20, 2019.  Answers (1)

• The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a).(Solved)
  

  The equation of line AB in the figure below is y = 3x + 5 and A is the point (0, a). Line PQ is parallel to AB and AP = 7 units.
  
  
  (i) Find the value of a.
  (ii) Write down the equation of PQ.

  Date posted: August 20, 2019.  Answers (1)

• Evaluate:(Solved)
  

  Evaluate:
  

  Date posted: August 20, 2019.  Answers (1)

• In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG giventhat ?HED = 20^o(Solved)
  

  In the figure below EFGH is a rhombus and DEF is a quilaterial triangle. Calculate ?HDG given that ?HED = 20^o
  

  Date posted: August 19, 2019.  Answers (1)