Below is a topographic map of a 0.4 square mile region of San Francisco CA. The

Question

Below is a topographic map of a 0.4 square mile region of San Francisco CA. The contours are separated by heights of 25 feet (i.e., from 375 feet to 175 feet above sea level for the region shown).

From left to right, the North-South streets shown are Buchannan (1), Laguna (2), Octavia (3) Gough (4) and Franklin (5). From top to bottom the East-West streets shown are Broadway (A) Pacific (B), Jackson (C), Washington (D), Clay (E) and Sacramento (F) (a) In the part of town shown in the map below, which street(s) have the steepest runs? Which has the most level sections? Explain your answers (b) How steep is the steepest street at its steepest (i.e., what is its slop in feet/mile- slope is rise over run)? (c) Which would take more work (in the physics sense): Walking 3 blocks for Laguna & Jackson or one block west from Clay and Franklin? Explain your answer 4 CIFI La

Explanation / Answer

Answer a:Streets 2 (Laguna), 3 (Octavia) D (Washington) and E (Clay) have the steepest run. They are the only streets that almost touch the contour of 350.  The most level streets are Franklin (5) and Broadway (A) that crosses the sparsely located contours of 175, 200 and 225.

Answer b: The steepest street has a slope of approximately= 237 (Highest point approximately)- 175

Thus the slope will be of 62 feet approximately.

Answer c:walking 1 block to the west of Clay and Franklin will take more work since the contours are closely spaced i.e. the area is steep compared to walking 3 blocks from Laguna and Jackson which crosses sparsely located contours that mean that the walk will be an easy one.

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