. A car starts at point A and travels x km due North to B. From B it travels y km due East to C. It then travels 10 km from C to its destination D on a bearing of 120⁰. D is located 12.5 km due East of the starting point A. Draw and label a diagram (does not have to be to scale) to represent the path of the car and then calculate the total distance travelled by the car.
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Total distance travelled by the car = 26.16 km
Step-by-step explanation:
Sin 30 = DP/CD
=> 1/2 = DP/10
=> DP = 5 km
AD = AP + DP
AD = 12.5 km
AP = BC = y
y + 5 = 12.5
=> y = 7.5 km
Cos30 = CP/CD
√3 / 2= CP/10
=> CP = 5√3 km
AB = CP
=> x = 5√3 km
Total Distance Covered = x + y + 10
= 5√3 + 7.5 + 10
= 5√3 + 17.5
= 26.16 km
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