Suppose you are climbing a hill whose shape is given by the equation below, wher

Question

Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are measured in meters, and you are standing at a point with coordinates (60, 40, 1666). The positive x-axis points east and the positive y-axis points north.


(a) If you walk due south, will you start to ascend or descend?
ascend
descend


At what rate?

___________

(b) If you walk northwest, will you start to ascend or descend?
ascend
descend


At what rate? (Round the answer to two decimal places.)

_____________


(c) In which direction is the slope largest?
(-0.6, -0.8)
(0.6, 0.8)
(0.6, -0.8)
(-0.6, 0.8)


What is the rate of ascent in that direction?

________________

At what angle above the horizontal does the path in that direction begin? (Round the answer to two decimal places.)

__________________

Explanation / Answer

part a,b,c, and d is correct

(e) From the part (d), we got the rate is v9.16 vertical meters per horizontal meters

it means it moves v9.16 vertically per 1 meter horizontally

therefore ?=arctan(v9.16/1)=71.72 degrees

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.