Category: TRIGONOMETRY I

K.C.S.E Mathematics Q & A - MODEL 2000PP1QN17

8/7/2020

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Form 2 Mathematics | Topical Questions and Answers

A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m

(a) Calculate the:
- (i) Area of the plot in square metres
- (ii) Acute angle between the edges AB and BC
(b) A water tap is to be installed inside the plot such that the tap is equidistant from each of the vertices A, B and C. Calculate the distance of the tap.

ANSWER

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN24

30/6/2020

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Form 2 Mathematics

The diagram below shows a right pyramid VABCD with V as the vertex. The base of the pyramid is rectangle ABCD, WITH ab = 4 cm and BC= 3 cm. The height of the pyramid is 6cm.

(a) Calculate the
- (i) length of the projection of VA on the base
- (ii) Angle between the face VAB and the base
(b) P is the mid- point of VC and Q is the mid – point of VD. Find the angle between the planes VAB and the plane ABPQ

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K.C.S.E Mathematics Q & A - MODEL 1999PP2QN24

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

7/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 30⁰ and the angle of elevation of the top of the window is 35⁰. Calculate the vertical distance.

(a) From A to the bottom of the window
(b) From the bottom to top of the window

ANSWER

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K.C.S.E Mathematics Q & A-MODEL 1996PP1QN4

13/5/2020

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A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

MARKING SCHEME

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K.C.S.E Mathematics Q & A-MODEL 1995PP2QN20

12/5/2020

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A hillside is in the form of a plane inclined at an angle of 30⁰ to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.

(a) If a vehicle moves from A and B, what vertical height does it rise?
(b) D is another point on the hillside and is on the same height as B. Another height straight road joins and D and makes an angle of 600 with AB. C is a point on AD such that AC = ¾ AD.
Calculate
- (i) The length of the road from A to C
- (ii) The distance of CB
- (iii) The angle elevation of B and C

MARKING SCHEME

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

K.C.S.E Mathematics Q & A - MODEL 2000PP1QN17

Form 2 Mathematics | Topical Questions and Answers

17

Related Questions on Area of a Triangle

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN24

Form 2 Mathematics

24

Related Questions on Trigonometry I

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 30⁰ and the angle of elevation of the top of the window is 35⁰. Calculate the vertical distance.

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN4

A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN20

A hillside is in the form of a plane inclined at an angle of 30⁰ to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

K.C.S.E Mathematics Q & A - MODEL 2000PP1QN17

Form 2 Mathematics | Topical Questions and Answers

17

Related Questions on Area of a Triangle

K.C.S.E Mathematics Q & A - MODEL 1999PP2QN24

Form 2 Mathematics

24

Related Questions on Trigonometry I

K.C.S.E Mathematics Q & A - MODEL 1998PP1QN06

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 300 and the angle of elevation of the top of the window is 350. Calculate the vertical distance.

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN4

​A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN20

A hillside is in the form of a plane inclined at an angle of 300 to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.

Categories

Archives

Author

HIGH SCHOOL RESOURCES

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

Send Us a Message

A point A is directly below a window. Another point B is 15 m from A and at the same horizontal level. From B angle of elevation of the top of the bottom of the window is 30⁰ and the angle of elevation of the top of the window is 35⁰. Calculate the vertical distance.

A man walks directly from point A towards the foot of a tall building 240 m away. After covering 180 m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

A hillside is in the form of a plane inclined at an angle of 30⁰ to the horizontal. A straight section of road 800 metres long lies along the line of greatest slope from a point A to a point B further up the hillside.