The figure below represents a rectangular based pyramid VABCD. AB = 16cm and AD = 20cm. Point O is vertically below V and VA = 30cm.

The figure below represents a rectangular based pyramid VABCD. AB = 16cm and AD = 20cm. Point O is vertically
below V and VA = 30cm.

Calculate:
(a) The height, VO, of the pyramid
(b) The angle between the edge VA and the plane ABCD
(c) The angle between the planes VAB and ABCD.

---

---

sharon kalunda answered the question on May 6, 2019 at 09:39

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

---

• In the figure below XC is a tangent to the circle ABYC at C and Y is the midpoint of arc BC. (Solved)
  

  In the figure below XC is a tangent to the circle ABYC at C and Y is the midpoint of arc BC.
  
  If angle BXC = 28⁰ and angle BCA = 2 angle ACX.
  Find, giving reasons for your answer:
  (a) (i) angle CBA
  (ii) angle CBY
  (iii)angle BYC
  (b) Given that AX = 10cm and XC = 12cm, calculate the length of BX

  Date posted: May 6, 2019 .    Answers (1)

• A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she should mix them... (Solved)
  

  A tea blender buys two grades of tea at Sh. 60 and Sh. 80 per packet. Find the ratio in which she should mix them so
  that by selling the mixture at Sh. 90, a profit of 20% is realized.

  Date posted: May 6, 2019 .    Answers (1)

• Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R. If... (Solved)
  

  Three quantities; P, Q and R are such that P varies directly as the square of Q and inversely as the square root of R.
  If P = 6 when Q = R and R = 25. Find the value of P when Q = 15 and R = 81.

  Date posted: May 6, 2019 .    Answers (1)

• The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle... (Solved)
  

  The figure shows a circle centre O. The line AB = 14cm is a tangent to the circle such that OA = OB and angle OAB = 120⁰.
  
  Calculate the radius of the circle.
  

  Date posted: May 6, 2019 .    Answers (1)

• Without using a calculator or mathematical tables, express the expression below in surd form. (Solved)
  

  Without using a calculator or mathematical tables, express the expression below in surd form.
  

  Date posted: May 6, 2019 .    Answers (1)

• A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a... (Solved)
  

  A water tank has a capacity of 50 litres. A similar model tank has a capacity of 0.25 litres. If the larger tank has a height
  of 10cm. Calculate the height of the model tank, to the nearest cm.

  Date posted: May 6, 2019 .    Answers (1)

• There are two boxes labeled A and B on a table. Box A contains 5 red balls and 3 white balls, while box B contains... (Solved)
  

  There are two boxes labeled A and B on a table. Box A contains 5 red balls and 3 white balls, while box B contains 2 red
  balls and 6 white balls. A box is chosen at a random and two balls are drawn from it, one after the other without
  replacement. Find the probability that the two balls chosen are of different colours

  Date posted: May 6, 2019 .    Answers (1)

• If (x+y) : (x-y)=8:3 find the ratio x:y (Solved)
  

  If (x+y) : (x-y)=8:3 find the ratio x:y

  Date posted: May 6, 2019 .    Answers (1)

• Given that the matrix (Solved)
  

  Given that the matrix
  
  (a) Determine M²
  (b)Determine the possible pairs of values of a and b,
  If

  Date posted: May 6, 2019 .    Answers (1)

• Make y the subject of the formula in (Solved)
  

  Make y the subject of the formula in
  

  Date posted: May 6, 2019 .    Answers (1)

• Use logarithm tables to evaluate (Solved)
  

  Use logarithm tables to evaluate
  
  Correct to 3 significant figures

  Date posted: May 6, 2019 .    Answers (1)

• A survey recorded the measurement of a field book using XY = 400m as the base line as shown below. (Solved)
  

  A survey recorded the measurement of a field book using XY = 400m as the base line as shown below.
  
  Find the area of the field in hectares.

  Date posted: May 6, 2019 .    Answers (1)

• A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than the width. The area of... (Solved)
  

  A piece of wire can be folded into a rectangle whose dimensions are such that its length is 3cm longer than the width.
  The area of the rectangle so formed is 28m².
  (a) Determined
  (i) The dimensions of the rectangle
  (ii) The perimeter of the rectangle
  (b) The wire can also be folded into a circle. Taking 𝜋 =22/7.Find the radius of the circle and hence calculate its area.

  Date posted: May 6, 2019 .    Answers (1)

• The diagram below shows a frustum which represents a bucket with an open top diameter of 30cm and a bottom diameter of 24cm. The bucket is... (Solved)
  

  The diagram below shows a frustum which represents a bucket with an open top diameter of 30cm and a bottom
  diameter of 24cm. The bucket is 30cm deep and it is used to fill an empty cylindrical tank of diameter 1.4m and height
  of 1.2m.
  
  (a) Leaving your answer in terms of 𝜋 calculate
  (i) The capacity of the bucket in litres
  (ii) The capacity of the tank in litres
  (b) Determine the number of bucket that must be drawn in order to fill that tank

  Date posted: May 6, 2019 .    Answers (1)

• The distance between town A and B is 360km. A minibus left A at 8.15 am and travelled towards B at an average speed of 90km/h.... (Solved)
  

  The distance between town A and B is 360km. A minibus left A at 8.15 am and travelled towards B at an average
  speed of 90km/h. A matatu left B two and a third hours later on the same day and travelled towards A at an average
  speed of 110km/hr.
  (a) (i) At what time did the two vehicles meet?
  (ii) How far from A did the vehicles meet
  (b) A motorist started from his home at 10.30 am on the same day and travelled at an average speed of 100km/hr. He
  arrived at B at the same time as the minibus. Calculate the distance from A to his house.

  Date posted: May 6, 2019 .    Answers (1)

• The figure below shows triangle OPQ in which OP = P and OQ = p. M and N are points on OQ and OP respectively... (Solved)
  

  The figure below shows triangle OPQ in which OP = P and OQ = p. M and N are points on OQ and OP respectively such
  that ON:NP = 1:3 and OM:MQ = 2:1
  
  (a) Express the following vectors in terms of p and q
  (i) PM
  (ii) QN
  (iii) PQ
  (b) Lines PM and QN intersect at X such that PX = hPM and QX = kQN. Express OX in two different ways and hence
  find the value of h and k.
  (c) OX produced meets PQ at Y such that PY :YQ = 3:2. Using the ratio theorem or otherwise, find OY in terms of P and q

  Date posted: May 6, 2019 .    Answers (1)

• The number 5.81 contains an integral part and a recurring decimal. Convert the number into an improper fraction and hence into a mixed number (Solved)
  

  The number 5.81 contains an integral part and a recurring decimal. Convert the number into an improper fraction and hence into a mixed number

  Date posted: May 6, 2019 .    Answers (1)

• Find the value of m and n in the figure below. (Solved)
  

  Find the value of m and n in the figure below.
  

  Date posted: May 6, 2019 .    Answers (1)

• Solve the simultaneous inequality below. (Solved)
  

  Solve the simultaneous inequality below.
  2x – 5≤ 10 – 3x < x + 18.

  Date posted: May 6, 2019 .    Answers (1)

• Sales lady sold goods whose marked price was Sh. 340,000 at a discount of 3%. She was paid Sh. 16,490 as a commission for this... (Solved)
  

  Sales lady sold goods whose marked price was Sh. 340,000 at a discount of 3%. She was paid Sh. 16,490 as a commission for this sale. Calculate the percentage rate of commission she was paid.

  Date posted: May 6, 2019 .    Answers (1)