Question

A plane directly above Denver, Colorado, (altitude 1650 meters) flies to Bismark, North Dakota (altitude 550 meters). It travels at 625 km/hour at a constant height of 7500 meters above the line joining Denver and Bismark. Bismark is about 850 km in the direction 60∘ north of east from Denver. Find parametric equations describing the plane's motion. Assume the origin is at sea level beneath Denver, that the x-axis points east and the y-axis points north, and that the earth is flat. Measure distances in kilometers and time in​

Answer 1

Answer:

Correct option is

A

1095

Let D is the aeroplane A and B are two ships.

Given: CD=1500 m,∠EDA=30∘,∠EDB=45∘

In △DBC tan45∘=BCDC=BC1500

1=BC1500⇒BC=1500 m

In △ADC tan30∘=ACDC

31=AB+BC1500

AB+BC=15003

AB=15003−1500

AB=1500(3−1)

=1500(1.73−1)=1500×0.73

=1095 m.