Answer:
Distance of the jogger from his house is 7 miles.
Step-by-step explanation:
We are given that,
Distance ran towards east = 3 miles
Distance ran towards east of north = 5 miles
Angle made towards east of north = 30° as shown in the figure below.
<em>So, the total angle by which the jogger ran = 90° + 30° = 120°</em>
Thus, using the cosine law, we get,
i.e.
i.e.
i.e.
i.e. x = ±7 miles
Since, the distance cannot be negative.
Thus, the distance of the jogger from his house is 7 miles.