1 find the area of abc if c 1064 a 7 cm and b 13 cm

(1) Find the area of
∆ ABC
if
C = 106.4 °
,
a = 7 cm
and
b = 13 cm
.

of the above
B C D E
(2) A vector
u
with a magnitude of 150
lbs
is inclined to the right and upward
52
from the horizontal. Resolve the vector into components.
°
B
C
D
E

(3) A
2500 kg
block is suspended by two ropes, as shown. Find the tension each rope.
( A )
|
R
|
≈ 1420 kg
,
|
S
|
≈ 1790 kg
( B )
|
R
|
≈ 1830 kg
,
|
S
|
≈ 2241 kg
(
C
)
|
R
|
≈ 2241 kg
,
|
S
|
≈ 1830 kg
( D )
|
R
|
≈ 2475 kg
,
|
S
|
≈ 1360 kg
of the above
(
E
)
¿
R
S

R cos(45) + S cos(60) = 2500
R = 2241
S = 1830
4-5 True/False. Determine whether the following statement is true or false.
Explain your reasoning.
(4) For any point
( x, y )
on the unit circle,
¿ x, y > ¿
is a unit vector.
of the above
(
A
)
True
( )
False
( )
not enoughinformation
( )
¿
Solution:
True as unit vector has magnitude 1 and lies on unit circle.
B C D

(5) When two angles and an included side of a triangle are known, the triangle cannot be
solved using the law of cosines.
of the above
B C D