Dear Class 4-1 and 4-8, in my absence on Friday 8 May, please complete the Trigonometry Questions below during the Mathematics period and hand in answers to the Relief Teacher by the end of the lesson. Students who need help must take the initiative to ask their friends tomorrow. Do as many as you can.
| 1. | Given that (i) tan (ii) cos (- (iii) (iv) |
| 2. | ABC is a triangle in which
(a) Showing your working clearly, explain why AB = 5 cm. (b) Express as a fraction (c) Express as a fraction |
| 3 | In the diagram, Calculate (a) (b) the area of
|
| 4 | In the diagram, AB = 7cm, BC = 8cm and AC = 9cm
(a) Calculate
(b) If the area of |
| 5 |
In the diagram, x and y are two points on the opposite banks of a river. The length of XY
(a) (b) the area bounded by triangle XYZ. |
| 6 |
Points P, Q, R and S lie on a horizontal ground. PQ = 250 m, SR = 285 m, (i) the length of PR,
(b) A tree is to be planted on the line SR such that the greatest angle of elevation of the
|
| 7 8 |
X, Y and Z are three points on horizontal ground. Angle ZXY = 137° and the bearing of X from Y is 305°. ZX = 71 m and XY = 100 m. (a) Calculate (i) the bearing of X from Z , (ii) YZ , (iii) area of triangle XYZ . (b) A vertical clock tower of height 53 m stands at X. A boy walks along ZY. Calculate (i) the shortest distance of X to the line ZY , (ii) the greatest angle of elevation of the top of the clock tower from the boy. In the diagram A, B, C and D are four corners of a horizontal field. PC represents a
Calculate
|
| | |
, where 
is an obtuse angle, find in terms of m,
, AC = 12 cm and BC = 13 cm. ACD is a straight
.
.
, AB = 4.2 cm, AC = 3.6 cm, CD = 5.5 cm and AD = 8 cm.
,
.
. A man swims 210m from Y to Z on the opposite bank.
,
.
,
. Find the height of the tree.
