Two vertical columns A and B of height h and 2h respectively stand on level ground and are 100m apart. Two points P and Q...

Two vertical columns A and B of height h and 2h respectively stand on level ground and are 100m apart. Two points P and Q are d metres apart, the elevation of the top of A and B from point P are 35⁰ and 28⁰ respectively and the elevation of top of B from point Q is 75⁰
Calculate
(a) The vertical heights of the two columns in metres
(b) The distance PQ in metres

---

---

sharon kalunda answered the question on August 9, 2019 at 13:06

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

---

• Solve the following inequalities and represent the solutions on a single number line: (Solved)
  

  Solve the following inequalities and represent the solutions on a single number line:
  

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a plan of a roof with a rectangular base ABCD. AB = 20cm and BC = 12cm. the ridge PQ =... (Solved)
  

  The figure below shows a plan of a roof with a rectangular base ABCD. AB = 20cm and BC = 12cm. the ridge PQ = 8cm and is centrally placed. The faces ADP and BCQ are equilateral triangles. N is the midpoint of AD
  
  Calculate:
  (a) The length of PN
  (b) The altitude of P above the base.
  (c) The angle between the planes ABQP and ABCD.
  (d) The obtuse angle between the lines PQ and DB

  Date posted: August 9, 2019 .    Answers (1)

• Simplify the expression (Solved)
  

  Simplify the expression
  

  Date posted: August 9, 2019 .    Answers (1)

• A prism of length 20cm is represented by the diagram below whose cross section is an equilateral triangle of side 7cm. (Solved)
  

  A prism of length 20cm is represented by the diagram below whose cross section is an equilateral triangle of side 7cm.
  
  
  (a) Draw a sketch net of the prism and label it correctly.
  (b) Calculate
  (i) The area of the triangular end
  (ii) The total surface area of the prism
  (iii) The volume of the prism.

  Date posted: August 9, 2019 .    Answers (1)

• In the figure below, O₁ and O₁ are the centres of the circles whose radii are 4 cm and 7 cm respectively. The circles intersect... (Solved)
  

  In the figure below, O₁ and O₁ are the centres of the circles whose radii are 4 cm and 7 cm respectively. The circles intersect at A and B and angle AO₁O₂ = 60˚
  
  Find by calculation; take π = 3.142
  (a) The angle AO₂O₁
  (b) The area of the quadrilateral AO₁BO₂
  (c) The shaded area

  Date posted: August 9, 2019 .    Answers (1)

• O is the centre of the circle below and AB is parallel to DC. Angle ACD = 70⁰ and angle ACB = 10⁰. (Solved)
  

  O is the centre of the circle below and AB is parallel to DC. Angle ACD = 70⁰ and angle ACB = 10⁰.
  
  
  Calculate angles
  (i) ABC
  (ii) OAD

  Date posted: August 9, 2019 .    Answers (1)

• Three business partners, Bela, Joan and Trinity contributed Kshs. 112, 000, Kshs. 128, 000 and Kshs. 210, 000 respectively to start a business. They agreed... (Solved)
  

  Three business partners, Bela, Joan and Trinity contributed Kshs. 112, 000, Kshs. 128, 000 and Kshs. 210, 000 respectively to start a business. They agreed to share their profits as follows:
  30% to be shared equally
  30% to be shared in the ratio of their contributions
  40% to be retained for the running of the business.
  If at the end of the year, the business realized a profit of Kshs. 1. 35 million
  Calculate:
  (a) the amount of money retained for running the business at the end of the year.
  (b) the difference between the amounts received by Trinity and Bela.
  (c) Express Joan’s share as percentage of the total amount of money shared between the three partners.

  Date posted: August 9, 2019 .    Answers (1)

• Three bells P, Q and R are programmed to ring after an interval of 15 minutes, 25 minutes and 50 minutes respectively. If they all rang... (Solved)
  

  Three bells P, Q and R are programmed to ring after an interval of 15 minutes, 25 minutes and 50
  minutes respectively. If they all rang together at 8.45 a.m, when will they next ring together again.

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a regular tetrahedron PQRS of edges 4cm.Draw its net and measure the length of the straight path of PS through the... (Solved)
  

  The figure below shows a regular tetrahedron PQRS of edges 4cm.Draw its net and measure the length of the straight path of PS through the midpoint T over the edge QR.
  

  Date posted: August 9, 2019 .    Answers (1)

• A number n is such that when it is divided by 27 and 30 or 45, the remainder is always 3. Find the smallest value of... (Solved)
  

  A number n is such that when it is divided by 27 and 30 or 45, the remainder is always 3. Find the
  smallest value of n.

  Date posted: August 9, 2019 .    Answers (1)

• Find the equation of the perpendicular bisector of the line AB where the coordinates of A and B are (-3, 2) and (6, 4) respectively. (Solved)
  

  Find the equation of the perpendicular bisector of the line AB where the coordinates of A and B are (-3, 2) and (6, 4) respectively.

  Date posted: August 9, 2019 .    Answers (1)

• The difference between the interior and exterior angles at each vertex of a regular polygon is 162⁰ .Find the number of sides of the polygon. (Solved)
  

  The difference between the interior and exterior angles at each vertex of a regular polygon is 162⁰ .Find the number of sides of the polygon.

  Date posted: August 9, 2019 .    Answers (1)

• Without using a calculator or mathematical tables, evaluate; (Solved)
  

  Without using a calculator or mathematical tables, evaluate;
  

  Date posted: August 9, 2019 .    Answers (1)

• Given that tan x = 2.4, evaluate without use of tables and calculators, sinx - cosx in the form of a/b where a and b are... (Solved)
  

  Given that tan x = 2.4, evaluate without use of tables and calculators, sinx - cosx in the form of a/b
  where a and b are integers.

  Date posted: August 9, 2019 .    Answers (1)

• Find the value of x in the equation (Solved)
  

  Find the value of x in the equation
  

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a right angled triangle with AB = 12cm. ED is parallel to BA, CE = 6.3cm and ED = 8cm. (Solved)
  

  The figure below shows a right angled triangle with AB = 12cm. ED is parallel to BA, CE = 6.3cm and ED = 8cm.
  
  Given that the area of EBAD = 31.5cm², find the length of BC

  Date posted: August 9, 2019 .    Answers (1)

• The members of a photograph club decided to buy a camera worth Shs. 4000 by each contributing the same amount of money. (Solved)
  

  The members of a photograph club decided to buy a camera worth Shs. 4000 by each contributing the
  same amount of money. Fifteen member failed to pay their contribution due to various reasons. As a
  result each of the remaining members had to contribute Sh. 60 more.
  (a) Find the number of members in the club
  (b) What was the percentage increase in the contribution per month?

  Date posted: August 9, 2019 .    Answers (1)

• A particle accelerates uniformly from rest and attains a maximum velocity of 30m/s after 16 seconds. It travels at this constant velocity for the next 20... (Solved)
  

  A particle accelerates uniformly from rest and attains a maximum velocity of 30m/s after 16 seconds.
  It travels at this constant velocity for the next 20 seconds before decelerating to rest after another 8
  seconds. Calculate the total distance covered by the car.

  Date posted: August 9, 2019 .    Answers (1)

• The diagram below shows the speed-time graph for a bus travelling between two stations. The bus begins from rest and accelerates uniformly for 30 seconds. (Solved)
  

  The diagram below shows the speed-time graph for a bus travelling between two stations. The bus
  begins from rest and accelerates uniformly for 30 seconds. It then travels at a constant speed for 60
  seconds and finally decelerates uniformly for 40 seconds.
  
  
  Given that the distance between the two stations in 2090m. Calculate
  (a) The maximum speed, in km/h the bus attained
  (b) The acceleration
  (c) The distance traveled during the last 20 seconds
  (d) The time the bus takes to travel the first half of the journey

  Date posted: August 9, 2019 .    Answers (1)

• The figure below shows a rhombus PQRS with PQ = 9cm and angle SPQ=60⁰. SXQ is a circular arc;centre P. (Solved)
  

  The figure below shows a rhombus PQRS with PQ = 9cm and angle SPQ=60⁰. SXQ is a circular arc;
  centre P.
  
  Calculate the area of the shaded region correct to two decimal places. (Take pi=22/7 )

  Date posted: August 9, 2019 .    Answers (1)