Type - JMap

Math B Regents Exam Questions by Type - 6 Point Free Response Page 6
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27. A surveyor is mapping a triangular plot of
land. He measures two of the sides and the
angle formed by these two sides and finds that
the lengths are 400 yards and 200 yards and
the included angle is 50°.
What is the measure of the third side of the
plot of land, to the nearest yard?
What is the area of this plot of land, to the
nearest square yard?
30. Carmen and Jamal are standing 5,280 feet
apart on a straight, horizontal road. They
observe a hot-air balloon between them
directly above the road. The angle of
elevation from Carmen is 60° and from Jamal
is 75°. Draw a diagram to illustrate this
situation and find the height of the balloon to
the nearest foot.
28. Given: chords AB and CD of circle O
intersect at E, an interior point of circle O;
chords AD and CB are drawn.
Prove: (AE)(EB) = (CE)(ED)
29. Electrical circuits can be connected in series,
one after another, or in parallel circuits that
branch off a main line. If circuits are hooked
up in parallel, the reciprocal of the total
resistance in the series is found by adding the
reciprocals of each resistance, as shown in the
accompanying diagram.
If R1 = x, R2 = x+
3, and the total resistance,
R T
, is 2.25 ohms, find the positive value of
R 1
to the nearest tenth of an ohm.