If anyone attempting this problem can draw a picture to go along with it, that w

Question

If anyone attempting this problem can draw a picture to go along with it, that would be helpful.

Also, if the pic is blurry, here is a typed version of it:

You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint: Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude= f(x,y). Consider only infinitesimal displacements.]

A: The trail is perpendicular to the mountain’s contour line that passes through that point

B: The trail is parallel to the mountain’s contour line that passes through that point

C: The trail is headed in the direction of the mountain’s steepest ascent.

D: The trail is headed in the direction of the mountain’s steepest descent.

You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trails direction and the contour of the mountainside? Hint Think of the trail as a constrained path x y-c, on the mountainside's su ace a tit de- ? y Consider only infinitesi al is lacements O A. The trail is perpendicular to the mountain's contour line that passes through that point O B. The trail is parallel to the mountain's contour line that passes through that point O C. The trail is headed in the direction of the mountain's steepest ascent O D. The trail s headed in the direction of the mountain's steepest descent Click to select your answer

Explanation / Answer

B) At the bottom of the dip, the trail is headed along the mountain's contour line which passes
through that point.

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---