This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Step 1: Determine the direction. Locate "Hong Kong Supermarket" (point C) and "The Bowery Ballroom" (point B) on the map. Using the compass rose, point B is located to the North-East of point C. North-East Step 2: Identify the restaurant. Locate "Hong Kong Supermarket" (point C). Move directly east (to the right) on the map from point C. The restaurant found in that direction is "The Boil". The Boil Step 3: Calculate the straight-line distance using the Theorem of Pythagoras. Given: AC = 452 m BC = 483 m The Theorem of Pythagoras states AB^2 = AC^2 + BC^2. AB^2 = (452 m)^2 + (483 m)^2 AB^2 = 204304 m^2 + 233289 m^2 AB^2 = 437593 m^2 AB = sqrt(437593 m)^2 AB ≈ 661.51 m 661.51 m Step 4: Calculate the real distance in km. Given: Map scale = 1:150 000 Distance on map = 19 mm First, calculate the real distance in millimeters: Real distance in mm = Map distance × Scale factor Real distance in mm = 19 mm × 150\,000 Real distance in mm = 2\,850\,000 mm Next, convert millimeters to meters: Given 1 m = 1000 mm. Real distance in m = 2\,850\,000 mm1000 mm/m Real distance in m = 2850 m Finally, convert meters to kilometers and round to the nearest km: Given 1 km = 1000 m. Real distance in km = 2850 m1000 m/km Real distance in km = 2.85 km Rounding to the nearest km: Real distance in km ≈ 3 km 3 km Last free one today — make it count tomorrow, or type /upgrade for unlimited.