Cambridge International Mathematics

336 Trigonometry (Chapter 15)

EXERCISE 15F.3

1 A cube has sides of length 10 cm. Find the angle

between the plane defined by BGD and plane ABCD.

2

3 The slant edges of the pyramid opposite are 5 cm long.

Find the angle between planes BCE and ABCD.

4 The pyramid of Cheops in Egypt has a height of 145 m and has base lengths 230 m. Find the angle

between a sloping face and the base.

Review set 15A

#endboxedheading

1 Findsinμ,cosμandtanμfor the triangle:

2 Find the value ofx:

ab

3 Find the measure of all unknown sides and

angles in triangle CDE:

4 From a point 120 m horizontally from the base of a building, the angle of elevation to the top of

the building is 34 o. Find the height of the building.

5 Find the exact value of sin^260 o+ tan^245 o.

A B

C

D

P Q

S R

10 cm

10 cm

4cm

A B

D C

E

N

3cm

5cm

A B

C

D

E F

H G

132 m

x 229 m

32 m

64°

xm

5cm

12 cm

13 cm

q

C

D 17 cm E

54°

xcm

ycm

q

Find the angle that plane ASC makes with plane ABCD.

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Y:\HAESE\IGCSE01\IG01_15\336IGCSE01_15.CDR Friday, 17 October 2008 4:23:33 PM PETER