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Liceo de Pulilan Colleges

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Liceo De Pulilan Colleges

Longos, Pulilan, Bulacan

College Department
PRELIMINARY EXAMINATIONS
2ND Semester S. Y. 2009 – 2010

Subject Code: Subject Description: Trigonometry


Instructor: John Vincent G. Fajardo Date: Dec. 3 – 4, 2009
For: BSIT 1st yr

I. Express each of the following in radian measure:


1. 25°
2. 18.34°
3. 75°30’
4. 112°40’
5. 12°12’20”

I. Express each of the following in degree measure:

1. π4 rad
2. 7π10 rad
3. 5π6 rad
4. 14 rad
5. 75 rad
I. Solve the following worded problems:

1. The minute hand of a clock is 12 cm long. How far does the tip of the hand move
during 20 min?
2. A central angle of a circle of radius 30 cm intercepts an arc of 6 cm. Express the
central angle θ in radians and in degrees.
3. A railroad curve is to be laid out on a circle. What radius should be used if the
track is to change direction by 25° in a distance of 120 m?
4. A train is moving at the rate of 8 mi/h along a piece of circular track of radius
2500 ft. Through what angle does it turn in 1 min?
5. Assuming the earth to be a sphere of radius 3960 mi, find the distance of a point
36°N latitude from the equator.
6. Two cities 270 mi apart lie on the same meridian. Find their difference in latitude.
Hint: radius of the earth is 3960 mi.
7. A sector of a circle has a central angle of 50_ and an area of 605 cm2. Find the
radius of the circle. Hint: K=12r2θ;therefore r=2Kθ.
8. A sector of a circle has a central angle of 80° and a radius of 5 m. What is the area
of the sector?
9. A wheel is turning at the rate of 48 r/min. Express this angular speed in (a) r/s, (b)
rad/min, and (c) rad/s.
10. A wheel 4 ft in diameter is rotating at 80 r/min. Find the distance (in ft) traveled
by a point on the rim in 1 s, that is, the linear velocity of the point (in ft/s).

Liceo De Pulilan Colleges


Longos, Pulilan, Bulacan

College Department
PRELIMINARY EXAMINATIONS
2ND Semester S. Y. 2009 – 2010
Subject Code: Subject Description: Trigonometry
Instructor: John Vincent G. Fajardo Date: Dec. 3 – 4, 2009
For: BSIT 1st yr

Answer Key:
I. Express each of the following in radian measure:
1. 5π/36 or 0.4363 rad
2. 0.3201 rad
3. 151π/360 or 1.3177 rad
4. 169π/270 or 1.9664 rad
5. 0.2130 rad

I. Express each of the following in degree measure:

1. 45°
2. 126°
3. 150°
4. 14°19’12” or 14.32°
5. 80°12’26” or 80.21°
I. Solve the following worded problems:
1. 25.1 cm
2. 11.46°
3. 275 m
4. 0.2816 rad or 16.13°
5. 2488 miles
6. 3°54.4’
7. 37.2 cm
8. 17.5 m2
9. (a) 4/5 r/s, (b) 301.6 rad/min, (c) 5.03 rad/s
10. 8π/3 rad/s

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