Category: Trigonometry I

THE FIGURE BELOW SHOWS A CUBOID LABELLED abcdefgh. POINT O IS THE MID-POINT OF BD, AB=15CM, BC=8CM AND CF=5CM.

2/6/2023

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KCSE 2020 MATHEMATICS ALT A PAPER 2 QUESTION 5

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Given that Cos A = 5/13 and angle A is acute, find Tan A without using tables or calculators (2mks)

11/5/2023

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Given that Cos A = 5/13 and angle A is acute, find Tan A without using tables or calculators (2mks)

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The figure below is a right pyramid of rectangular base of length 12cm and width 9cm. The slanting edge has a length of 19.5cm.

29/4/2023

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The figure below is a right pyramid of rectangular base of length 12cm and width 9cm.
The slanting edge has a length of 19.5cm.

ANSWER

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kcse mathematics question and answer on trigonometry 1 model04052023002

10/4/2023

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KCSE MATHEMATICS QUESTION AND ANSWER ON TRIGONOMETRY 1 MODEL04052023002

QUESTION

ANSWER

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A tower is on a bearing of 030o from a point P and a distance of 100m.From P, the angle of elevation of the top of the tower is 15o and the angle of depression of the foot of the tower is 1o.

27/12/2022

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A tower is on a bearing of 030^o from a point P and a distance of 100m.From P, the angle of elevation of the top of the tower is 15^o and the angle of depression of the foot of the tower is 1^o.

a). Calculate the height of the tower. (4 marks)

b). A point Q is on the same horizontal plane as point P. The tower is on a bearing of 330^ofrom Q and a distance of 70 m. Calculate:

i) The distance from P to Q. (3 marks)

ii) The bearing of P from Q. (3 marks)

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From a point 20m away on a level ground the angle of elevation to the lower window line is 27degrees and the angle of elevation to the top of the window is 32degrees. calculate the height of the window.

24/10/2021

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From a point 20m away on a level ground the angle of elevation to the lower window line is 27⁰ and the angle of elevation to the top of the window is 32⁰. calculate the height of the window (3mks)

Worked Answer:

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The sides of a parallelogram are 4cm by 5cm and its area is 12cm square. calculate its angles.

24/10/2021

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The sides of a parallelogram are 4cm by 5cm and its area is 12cm². calculate its angles (3mks)

Worked Answer:

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K.C.S.E Mathematics Q & A - MODEL 2019PP1QN22

23/9/2020

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Form 2 Mathematics

The figure below represents a triangular tower garden ABC in which AB = 4 in, BC = 5m and ∠BCA = 30°. Point D lies on AC such that BD = 4 m and ∠BDC is obtuse.

Find, correct to 2 decimal places:
(a) ∠BDC;
(b) the length of AD;
(c) the length of DC;
(d) the area of the flower garden ABC.

answers

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K.C.S.E Mathematics Q & A - MODEL 2018PP2QN10

21/9/2020

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Form 4 Mathematics

State the amplitude and the phase angle of the curve y = 2 sin ( 3/2 x — 30°)

answer

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K.C.S.E Mathematics Q & A - MODEL 2018PP1QN11

18/9/2020

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Form 3 Mathematics

Without using mathematical tables or a calculator, evaluate sin 30°-sin60 °/tan60°

answer

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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.23

18/9/2020

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Form 2 Mathematics

A boat which travels at 5 km/h in still water is set to cross a river which flows from the north at 6km/h. The boat is set on a course of x⁰ with the north.

(a) Given that cos x⁰ = ³/₅ , calculate

(i) The resultant speed of the boat ( 2 marks)

(ii) The angle which the track makes with the north ( 2 marks)

(b) If the boat is to sail on a bearing of 135⁰, calculate the bearing of possible course on which it can be set ( 4 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.14

17/9/2020

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Form 2 Mathematics

The figure below shows a quadrilateral ABCD in which AB = 8 cm, DC = 12 cm, ∠BAD = 45⁰, ∠CBD = 90⁰ and ∠BCD = 30⁰.

Find:

(a) the length of BD ( 1 mark)

(b) The size of the angle ADB (2 marks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2005.PP1.QN.7

17/9/2020

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Form 2 Mathematics

Given that sin (90 – x)⁰ = 0.8, where x is an acute angle, find without using mathematical tables the value of tan x⁰.

Answer

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K.C.S.E Mathematics Q & A - MODEL 2017PP1QN08

15/9/2020

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Form 2 Mathematics

Convert 2π^C/9 into degrees.

answer

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K.C.S.E Mathematics Q & A - MODEL 2016PP1QN07

13/9/2020

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Form 3 Mathematics

Given that x is an acute angle and cos x = 2/5 √5 find, without using mathematical tables or a calculator, tan (90-x).

answer

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K.C.S.E Mathematics Q & A - MODEL 2004.PP1.QN.24

12/9/2020

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Form 2 Mathematics

A man who can swim at 5km/h in still water swims towards the east to cross a river. If the river flows from north to south at the rate of 3km/h
a) Calculate:
i)          The resultant speed
ii)         The drift
b) If the width of the river is 30m, find the time taken, in seconds, for the man to cross the river.

Answer

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K.C.S.E Mathematics Q & A - MODEL 2004.PP1.QN.23

12/9/2020

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Form 2 Mathematics

A triangular plot ABC is such that the length of the side AB is two thirds that of BC. The ratio of the lengths AB:AC = 4:9 and the angle at B is obtuse.

a) The length of the side BC
b)

i) The area of the plot
iii) The size of ∠ABC

Answer

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K.C.S.E Mathematics Q & A - MODEL 2015PP2QN15

10/9/2020

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Form 3 Mathematics

Solve the equation sin ( ½ x – 30⁰) = cos x for 0⁰ < x < 90⁰.

answer

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN20

10/9/2020

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Form 2 Mathematics

In the figure below, AC = 12cm, AD =15 cm and B is point on AC, <BAD= DB=30.

Calculate , correct to one decimal place
a) The length of CD:
b) The length of AB
c) The area of triangle BCD
d) The size of <BDC

answers

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K.C.S.E Mathematics Q & A - MODEL 2004.PP1.QN.12

10/9/2020

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Form 2 Mathematics

In the figure below PQRS is a trapezium with SR parallel to PQSR = 5cm, RQ = 4cm, QS = 8cm and PQ = 10cm.

Calculate:

a) The size of angle QSR
b) The area of triangle PQS

Answer

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K.C.S.E Mathematics Q & A - MODEL 2015PP1QN05

9/9/2020

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Form 2 Mathematics

A piece of wire is bent into the shape of an isosceles triangle. The base angles are each 48° and the perpendicular height to the base is 6 cm. Calculate,
correct to one decimal place, the length of the wire.

answer

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K.C.S.E Mathematics Q & A - MODEL 2014PP2QN06

8/9/2020

0 Comments

Form 4 Mathematics

Determine the amplitude and period of the function, y = 2 cos (3x — 45)°.

answers

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K.C.S.E Mathematics Q & A - MODEL 2003PP2QN024

8/9/2020

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Form 2 Mathematics

The figure below represents a right pyramid with vertex V and a rectangular base PQRS. VP = VQ = VR S = 18cm and QR =16cm and QR = 12cm. M and O are the midpoints of QR and PR respectively.

Find:

a) The length of the projection of line VP on the plane PQES (2mks)
b) The size of the angle between line VP and the plane PQRS. (2mks)
c) The size of the angle between the planes VQR and PQRS. (2mks)

Answer

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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN015

3/9/2020

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Form 2 Mathematics

Three points O, A and B are on the same horizontal ground. Point A is 80 metres to the north of O. Point B is located 70 metres on a bearing of 060⁰ from A. A vertical mast stands at point B. The angle of elevation of the top of the mast from o is 20⁰.

Calculate:

a) The distance of B from O. (2mks)

b) The height of the mast in metres (2mks)

aNSWERS

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K.C.S.E Mathematics Q & A - MODEL 2003PP1QN012

2/9/2020

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Form 2 Mathematics

Two straight paths are perpendicular to each other at point p.One path meets a straight road at point A while the other meets the same road at B. Given that PA is 50 metres while PB is 60 metres. Calculate the obtuse angle made by path PB and the road.

aNSWER

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

​Given that Cos A = 5/13 and angle A is acute, find Tan A without using tables or calculators (2mks)

​The figure below is a right pyramid of rectangular base of length 12cm and width 9cm. The slanting edge has a length of 19.5cm.

​ANSWER

​KCSE MATHEMATICS QUESTION AND ANSWER ON TRIGONOMETRY 1 MODEL04052023002

QUESTION

ANSWER

From a point 20m away on a level ground the angle of elevation to the lower window line is 270 and the angle of elevation to the top of the window is 320. calculate the height of the window (3mks)

Worked Answer:

The sides of a parallelogram are 4cm by 5cm and its area is 12cm2. calculate its angles (3mks)

Worked Answer:

Form 2 Mathematics

22

Form 4 Mathematics

10

Form 3 Mathematics

11

Form 2 Mathematics

N.23

Form 2 Mathematics

N.14

Form 2 Mathematics

N.7

Form 2 Mathematics

8

Form 3 Mathematics

7

Form 2 Mathematics

N.24

Form 2 Mathematics

N.23

Form 3 Mathematics

15

Form 2 Mathematics

20

Form 2 Mathematics

N.12

Form 2 Mathematics

5

Form 4 Mathematics

6

Form 2 Mathematics

N.24

Form 2 Mathematics

15

Form 2 Mathematics

12

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Given that Cos A = 5/13 and angle A is acute, find Tan A without using tables or calculators (2mks)

The figure below is a right pyramid of rectangular base of length 12cm and width 9cm.
The slanting edge has a length of 19.5cm.

ANSWER

KCSE MATHEMATICS QUESTION AND ANSWER ON TRIGONOMETRY 1 MODEL04052023002

From a point 20m away on a level ground the angle of elevation to the lower window line is 27⁰ and the angle of elevation to the top of the window is 32⁰. calculate the height of the window (3mks)

The sides of a parallelogram are 4cm by 5cm and its area is 12cm². calculate its angles (3mks)