Answer the question based on the following information.The city K is 3...
G to Z, the distance is 8 km (20 km from Y to Z - 12 km from Y to G). Further, from Z to H the distance is 18 km (from the figure based on the logic that if H is 38 km southeast of Y and Z is 20 km southeast of Y, the distance from Z to H would be 38 - 20).
Total distance would be 8 + 18 = 26 km.
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Answer the question based on the following information.The city K is 3...
Given Information:
- City K is 30 Km to the southeast of Z.
- City Y is 50 Km to the northwest of K.
- City H is 38 Km to the southeast of Y.
- City L lies in the direct route between Y and K and is 14 Km away from H.
- City G lies on the route between L and Y and is exactly midway between them.
To Find:
The distance from G to H.
Solution:
To find the distance from G to H, we need to determine the distances between various cities and then calculate the required distance.
Step 1: Determine the Distance between Z and K
Given that city K is 30 Km to the southeast of Z, we can represent their positions as follows:
Z ------------ K
Since the distance between Z and K is not specified, we cannot determine it directly.
Step 2: Determine the Distance between Y and K
Given that city Y is 50 Km to the northwest of K, we can represent their positions as follows:
K ------------ Y
Since the distance between Y and K is not specified, we cannot determine it directly.
Step 3: Determine the Distance between Y and H
Given that city H is 38 Km to the southeast of Y, we can represent their positions as follows:
Y ------------ H
Since the distance between Y and H is not specified, we cannot determine it directly.
Step 4: Determine the Distance between L and H
Given that city L lies in the direct route between Y and K and is 14 Km away from H, we can represent their positions as follows:
Y ------------ L ------------ H
Since the distance between L and H is 14 Km, we can use this information to calculate the distance between Y and L.
Let the distance between Y and L be x.
Then, the distance between L and H will also be x.
So, the total distance between Y and H is x + x = 2x.
Step 5: Determine the Distance between G and H
Given that city G lies on the route between L and Y and is exactly midway between them, we can represent their positions as follows:
Y ------------ L ------------ G ------------ H
Since G is exactly midway between L and Y, the distance between G and L will be the same as the distance between G and Y.
So, the distance between G and L will be x/2.
Similarly, the distance between G and Y will also be x/2.
Therefore, the total distance between G and H will be (x/2) + (x/2) = x.
Step 6: Calculate the Distance from G to H
From step 4, we know that the total distance between Y and H is 2x.
And from step 5, we know that the total distance between G and H is x.
Since G lies on the route between Y and H, the distance between G and H will be less than the distance between Y and H.
So, the distance from G to H will be less than 2x.
Therefore, the distance from G to H is less than 2(14) = 28 Km.
Conclusion:
The distance from G to H is less than 28 Km, which means that
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