Convert the following bearings to equivalent azimuths a. AB, N 25°25’ W b. BC, Due East A 100- m steel tape is used to measure the distance of the line and found to be 1539.28 m long. During measurement, the tape is supported the ends under a pull of 10 kg and the observed mean temperature is
Convert the following bearings to equivalent azimuths
a. AB, N 25°25’ W
b. BC, Due East
A 100- m steel tape is used to measure the distance of the line and found to be 1539.28
m long. During measurement, the tape is supported the ends under a pull of 10 kg and
the observed mean temperature is 31 deg. celsius. The tape is of standard temperature
of 20 deg. celsius and a tension of 12 kg. The cross sectional area of the tape is 0.035 sq.
cm. The coefficient of linear expansion is 0.0000116/ deg. celsius and the modulus of
elasticity of steel is 2.0 x 106
kg/ sq. cm. The tape weighs 1.5kg.
a) Determine the total correction for temperature.
b) Determine the total correction due to sag.
c) What is the correct length of the line?
Three hills A, B, and C are at elevations 135m, 146m, and 154m respectively above sea
level. Distance AB is 3.9km while distance BC is 3.1km.
a) Find the effect of curvature and refraction between A and B.
b) Determine the effect of curvature and refraction between A and B.
c) What would be the height of tower to be constructed at hill C so that the line of
sight will clear hill B by 2.5m considering the effect of earth’s curvature and
refraction?
1. Convert the angle 238o25’50’’ into its equivalent in decimal degrees.
2. Convert to degrees, minutes and seconds the decimal angle 325.7541667
degrees.
3. Convert 270o into its equivalent value in grads, mils and radians.
4. Convert 350 grads into its equivalent value in degrees, mils and radians.
5. Convert 1600 mils into its equivalent value in grads, degrees and radians.
6. Convert
ସ
radians into its equivalent value in degrees, grads and mils.
Based on the discussions in this lesson, read the story and answer the questions that
follow.
The old shoemaker was tired. He wanted to die and be with the Lord. Or at least, he
would like the Lord to visit him. One day he thought he heard a voice in his prayer. The voice
said, “Tomorrow I will come to your shop.” Overjoyed, the cobbler went to work, fully expecting
to see the Lord. But as the day went on, nothing out of the ordinary happened. An older woman
came in complaining about some boys who were stealing her apples. Since he knew the boys,
the cobbler called them in and talked with them. The boys said they would stop. The older adult
was pleased.
Then a fellow down on his luck came in. He needed a meal. The cobbler told him about
the Mission in the city. But the fellow was not acquainted with the town. So, the cobbler walked
him there. Hurrying back, the cobbler waited for the Lord. Late in the day, a girl came in. He
knew her. She said her father was sick and needed help. The cobbler again left his work and
went with the girl to get a doctor for her father. Late in the day, the cobbler returned to his shop.
He closed it down, sad. The Lord had not come. He went to his room for his hour of prayer.
“Lord,” he prayed, “I’m sorry I was out of the shop so much today, so busy. I hope you
did not come when I was away.” Then he heard a voice: “I came to you in each person you
helped. You did enjoy my presence. I am very pleased with you.”
1. What significant message were you able to draw from the story? 5 points
2. Based on the story, what makes Christian service truly Christian? 5 points
3. In the discussion in this Unit, Jesus is described as the sacrament of God. Also, in the
related story above, the shoemaker acted as a sacrament of Jesus. Without being overly
sentimental, in what concrete and realistic way can you be a sacrament for others? 10
points
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