Pre Calculus Homework Help Please

Question

After Jack planted his magic beans, his neighbor Jill watched the beanstalk grow. When the top of the beanstalk was at her eye level ( 5 feet), Jill began tracking the growth of the beanstalk from a stationary position 27 feet from the base of the beanstalk. After 125 seconds, she noted the beanstalk reached the first cloud and she estimated that her line of sight was at an angle 85with respect to the ground.


a) Draw a diagram of the situation and label each known and unknown quantity.

b) How tall was the beanstalk 125 seconds after Jill began tracking the growth of the beanstalk?

c) How fast did the beanstalk grow, given that the beanstalk grew vertically at a constant rate of change of distance with respect to time?

d) Define a function that relates the height of the beanstalk from the ground, h, as a function of the angle of Jill’s line of sight with respect to the ground as she watch the top of the beanstalk grow.

Answer 1

I will give you the formulae; you do the arithmetic.

 

b> 27 tan 85°

 

c> [(answer from b)-5]/125

 

d> h = 27 tan (Jill's angle of line of sight)