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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NadiaMaster · 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 $38^\circ$ between them. Label one side $d_1 = 46t$ and the other side $d_2 = 52.5t$, where $t$ is the time elapsed.
Explain
## Step 1: Diagram Representation<br />### 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 $38^\circ$. We label the distance traveled by the first boat as $d_1$ and the distance traveled by the second boat as $d_2$.<br /><br />## Step 2: Distance Calculation (Boat 1)<br />### The first boat travels at 46 km/h. Let $t$ be the time in hours. The distance $d_1$ covered by the first boat is given by $d_1 = 46t$.<br /><br />## Step 3: Distance Calculation (Boat 2)<br />### The second boat travels at 52.5 km/h. The distance $d_2$ covered by the second boat is given by $d_2 = 52.5t$.
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