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CIVIL ENGINEERING
In this right triangle,A = 5.7 feet and a = 30 degrees.
Determine the value of C.
sin a = A / C
sin 30 degrees = 5.7 / C
C = 5.7 / sin 30 degrees
C = 5.7 / .5
C = 11.4
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DEG 5.7 [÷] 5.7
30 [sin] .5
[=] 11.4
In this right triangle,
A = 6 feet and C = 15 feet.
Determine the values of a, b and B.
sin a = A / C
sin a = 6 / 15 = 0.4
sin
–1
.4 = 23.58
a = 23.58 degrees
b = 90 – 23.58 = 66.42 degrees
cos a = B / C
cos 23.58 = B / 15
B = cos 23.58 × 15
B = .9165 × 15 = 13.7475 feet
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APPLICATIONS AND EXAMPLES
BUSINESS
Calculate the future value of a $1000 investment
compounded annually at a rate of 6% for 7 years.
FV = p (1+i)
n
= 1000 (1+0.06)
7
= 1503.63
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1 [+] 0.06 [=] [x
y
] 7[=] 1.503630259
[×] 1000 [=] 1503.630259
PHYSICS
If a ball is thrown upward with a velocity of 75 feet
per second, what is its velocity at the end of 1.6 sec-
onds (g=32.2 ft/sec
2
)?
Velocity: V = Vo – gt
= 75 – (32.2 × 1.6)
= 23.48 ft/sec.
Height: S = Vot – 1/2 gt
2
= (75 × 1.6) – (1/2 x 32.2 × (1.6)
2
)
= 78.784 ft.
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75 [–] 32.2 [×] 1.6 [=] 23.48
75 [×] 1.6 [–] 2[1/x] [×] 0.5
32.2 [×] 1.6 [x
2
] [=] 78.784
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