Problems
Problem 2.1:
Two boats leave the same port. One goes 10 miles due west and drops anchor.
The other leaves the port 20 degrees north of west. How far must it go in a
straight line to get as far west as the first boat?
[Solution]
Problem 2.2:
A man flies a kite with a 100 foot string. The angle of elevation of the
string is
52o. How high off the ground is the kite?
[Solution]
Problem 2.3:
An airplane takes off 200 yards in front of a 60 foot building. At what angle
of elevation must the plane take off in order to avoid crashing into the
building? Assume that the airplane flies in a straight line and the angle of
elevation remains constant until the airplane flies over the building.
[Solution]
Problem 2.4:
A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation
must the ladder be situated in order to reach the top of the wall?
[Solution]
Problem 2.5:
A ramp is needed to allow vehicles to climb a 2 foot wall. The angle of
elevation in order for the vehicles to safely go up must be
30o or less,
and the longest ramp available is 5 feet long. Can this ramp be used safely?
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