Review: Situational Problem

  <> 

Excursion to Mount Panamac

You are hired by the parks department as a land surveyor in order to mark the trail leading to the top of Mount Panamac. You go to the park and realize that your equipment is too bulky to carry up the trail. This makes it impossible to take measurements directly in the field. Luckily, you are resourceful and you decide to take measurements in a different way. You set up your measuring instruments at the entrance to the park and observe the summit of the mountain at an angle of elevation of 20o. Then, you walk one kilometre to the junction of the trail leading to the summit. From there, you can observe it from an angle of elevation of 35o.

  <>

Your goal is to design panels that will guide hikers along the trail. The first panel will be located at the trailhead. The panel must indicate the height of Mount Panamac, the length of the trail and the time needed to get to the summit. Hikers walk at an estimated speed of 3.5 km/h.

 

The other two panels will be located in the rest areas situated one quarter and two thirds of the way along the trail.
The following information will appear on these panels:

 

*      The altitude (in metres)

*      The distance covered (in metres)

*      The distance left to cover (in metres)

*      The time needed to get to the summit

 

Your task is to design these three panels and to explain to the park authorities the exact location of the rest areas and the panels.