EduNinja

[Maximum number: 6]

The diagram shows a circle, centre O, radius 11 cm. C, F, G and H are points on the circumference of the circle.
The line AD touches the circle at C and is parallel to the line EG. B is a point on AD and angle $A B O=140^{\circ}$ .

(a)

Show that $BC=13.11\text{ cm}$ , correct to 2 decimal places.

[ 3 ]

180-140 or 90- their (b)(ii)
$\tan(180-140)=\frac{11}{BC}$ oe
$[BC=]13.109\ldots$

(b)

Calculate BH.

BH= ___ cm

[ 3 ]

6.11 or 6.112 to 6.114
M1 for $OB^{2}=13.11^{2}+11^{2}$ .
A1 for 17.1 or 17.11 or 17.112 to 17.114.
OR
M1 for $\frac{11}{\sin40}$ oe.
A1 for 17.1 or 17.11... or 17.112 to 17.113.

[Maximum number: 2]

The diagram shows a right-angled triangle ABC.

NOT TO
SCALE

Calculate angle ACB.

Angle A C B=

27.8 or 27.81... to 27.82

M1 for $\sin[\ldots]=\frac{7}{15}$ or better
or $90-\cos^{-1}\left(\frac{7}{15}\right)$ oe

CAIE IGCSE Mathematics Core C6.2 Right Angled Triangles Topic Practice

Question 1

Question (a)

Question (b)

Question 2