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here is a pic of what were looking at: http://img183.imageshack.us/img183/8004/u

ID: 1852656 • Letter: H

Question

here is a pic of what were looking at: http://img183.imageshack.us/img183/8004/untitledqa0.jpg A hiker needs to cross a sandy area in order to get from point A to a camp site at point B. He can do so by crossing the sand perpendicular to the trail and then walking along the trail, or by crossing the sand in an anle theta up to the trail, and then walking along the trail. The hiker walks 3.5 km/h in the san and 5 km/h on the trail. Determine the time it will take him to reach the camp site for theta = 0, 10, 20, 30, 40, 50 and 60 degrees. the distances of w = 4.5km and u = 14km not sure how to do this one. help is needed please.

Explanation / Answer

Let the angle be .

Distance to be covered on sand -> d1

d1 = w/cos

time taken to cover this distance -> t1 = d1/3.5 hr = w*sec/3.5 hr

Distance to be covered on trail -> d2

d2 = u-wtan

time taken to cover this distance -> t2 = d1/5 hr = (u-wtan)/5 hr

Total time = t1 + t2 =( w*sec/3.5 +  (u-wtan)/5 )hr (w= 4.5km , u =14km)

put the different values of to get the answer.:)