CHAPTER 5: Trigonometry (1) The Sine Rule
Exercise 5c Questions and Solutions
An aeroplane flies from a town X on a bearing off N45⁰E to another town Y, a distance of 200km. It then changes course and flies to another town Z on a bearing of S60⁰E. If Z is directly east of Z, calculate, correct to 3 significant figures,
a) the distance from X to Z
b) the distance from Y to XZ (WAEC)
A mass hangs from a horizontal beam by two strings as shown in the figure below.
Use the data in the figure to calculate the length of the longer string.
An aircraft is timetabled to travel from A to B. Due to bad weather it floes from A to C then from C to B, where AC and CB make angles of 27⁰ and 66⁰ respectively with AB. If |AC| = 220km, calculate |AB|
Number 9: Two wires support an electricity pole as shown in the figure below
If the wires make angles 58⁰ and 67⁰ with the ground and |AB| = 21m, calculate the lengths of the wires.
From points A and B on level ground, the angels of elevation of the top of a building are 25⁰ and 37⁰ respectively. If |AB| = 57m, calculate, to the nearest metre, the distances of the top of the building from A and B if they are both on the same side of the building.
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