Laws of Sines/Cosines PRACICE TEST
2/9/2016
NAME:_________________________________
C-block
1)As the owner of a painting company, you need to
write an estimate for a customer. The area to be
painted is a triangle measuring 75 ft. by 65 ft.
by 95 feet. One gallon of paint covers 100 ft2
and costs $31. You have to buy the paint by the
gallon. Calculate the paint portion of the estimate.
2.
Two hikers start from a trailhead traveling
in different directions. One is hiking 4 mph
in the 300 direction and other is hiking at
5 mph in the 025 direction. How far apart
from one another will they be after 8 hours?
Area to be painted = ______ feet2
Cost of paint = ________
Distance = ____ miles _______ feet
(1 mile = 5280 ft.)
3. Mr. Alger hops in his kayak at Crane’s beach
and heads north. Before leaving, he sees the
tip of Plum Island which he knows is in the
025 direction and 3 miles away. After paddling
for 20 minutes at his usual pace of 12 m.p.h., he
decides to head to the tip of PI. How far does he
need to go to get there? In what direction?
_______ miles in the _______ direction
(nearest tenth)
(nearest degree)
4. Santa finishes up in Manchester and heads west
towards Salem. He spots Misery Island at a
bearing of 190 and he estimates it to be 2 miles
away. Three minutes later he looks back and
sees Misery is now in the 110 direction. How
fast is Santa’s sleigh going?
_____ m.p.h. (nearest mph)
5. Leaving NYC, a helicopter flies 45 miles in the
030 direction, then turns and goes 25 miles in the
250 direction. How far and in what direction does
the pilot need to fly in order to get back to NYC?
6.
NYC is _____ miles away in the _____ direction.
Beverly is _____ miles away in the _____ direction.
(nearest mile)
7.
Leaving Beverly Airfield, a hot-air balloon
drifts 14 miles in the 305 direction and then
the wind shifts and they go 19 miles in the
210 direction. How far away and in what
direction do they need to go to get back?
(nearest degree)
(nearest mile)
The Bermuda Triangle, also known as the Devil's Triangle,
is a loosely defined region in the western part of the North
Atlantic Ocean, where a number of aircraft and ships are said
to have disappeared under mysterious circumstances.
Leaving Miami, one would need to travel in the 110 direction
to get to San Juan.

Find the direction you would need to follow to get
from Miami to Bermuda: ___________

Find the direction you would need to follow to get
from Bermuda to San Juan: ___________

Find the area of the Bermuda Triangle: ___________ mi2
(nearest degree)