PreCalculus
Take Home Test 3 due Monday 10/15
Please complete each problem on separate paper. You will receive 6 holistic points per problem
for statement of problem, accuracy of answer, overall effort, neatness, and organization. Be proud
of the product you turn in! Please do not turn this sheet in with your responses.
1.
Consider ABC where side a  5 ft , side b  9 ft , and angle C  14 . Calculate
the third side using the Law of Cosines. Explain why you need to use this law and can’t
use Law of Sines
Store the answer without rounding.
2.
Use ABC from problem #1, and find the area using at least two different methods.
Clearly explain both methods.
3.
Suppose you work for a construction company that is planning to build a bridge from the
land to a point on an island in a lake. the only two places on the land to start the bridge
are points X and Y, 1000 m apart. Point X has better access to the lake but is farther
from the island than point Y. To help decide between x and y, you need the precise
lengths of the two possible bridges. From X you measure a 42 angle to the point on the
island, and from Y you measure 58 .
ISLAND
LAKE
X
LAND
Y
a.
Find how long each bridge will be
b.
If constructing the bridge costs $370 per meter, how much could be saved by
constructing the shorter bridge?
c. How much could be saved by constructing the shortest possible bridge (if that were
okay)?
4.
Mierzwa is golfing and is 230 yards from the hole. He swings and hits his golf shot a
total distance of 195 yards. The ball is still 52 yards from the hole. Draw a diagram of
the possible situations that could have happened. Next decide which triangle techniques
to use based on the merits of this problem, and solve the triangle(s) from your diagram.