Question
18. Two boats leave a duck at the same time. Each travels in a straight line but in different directions. The suggle hotesome their courses measures 38^4 One boat travels as 46 km h and the other truvels of 52.5kmh (2 marks) a) Sinch a diagram to represent the situation.
Solution
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(263 Votes)
Nadia
Master ยท Tutor for 5 years
Answer
### The diagram should be a triangle with one vertex representing the starting point (the duck). The two sides originating from this vertex represent the paths of the two boats, with an angle of
between them. Label one side
and the other side
, where
is the time elapsed.
Explanation
## Step 1: Diagram Representation### We represent the situation with a triangle. The duck's initial position is a vertex. The two sides originating from this vertex represent the paths of the two boats. The angle between these two sides is the angle between their courses, which is
. We label the distance traveled by the first boat as
and the distance traveled by the second boat as
.## Step 2: Distance Calculation (Boat 1)### The first boat travels at 46 km/h. Let
be the time in hours. The distance
covered by the first boat is given by
.## Step 3: Distance Calculation (Boat 2)### The second boat travels at 52.5 km/h. The distance
covered by the second boat is given by
.