Trigonometry Problem - Solution

A new solution for previous trigonometry problem.

In previous post, I have provided a solution for the problem by triangle area formula, however it seen complicated.

Recently, I have thought up a new solution for it.

Consider the triangle in Cartesian coordinate system, using linear equation for developing the equations for lines AB, AD, CE and BC.

First, assume length of AC is 1

line AB:  y = x tan (80)

line AD:  y = x tan (60)

line CE:  y =  x tan (110) - tan (110)

line BC:  y = x tan (100) - tan (100)

Point E is intersection of lines AB and CE;

x tan (80) = x tan (110) - tan (110)

x tan (80) - x tan (110) = - tan (110)

x tan (110) - x tan (80) = tan (110)

x [tan (110) - tan (80)] = tan (110)

          x = tan (110) / [tan (110) - tan (80)]

          x = 0.32635

using line AB equation;

          y = 0.32635 tan (80)

          y = 1.8508

Point E is (0.32635, 1.85083)

With same method; find for coordinate of D

Point D is (0.766044,1.32683)

Then, find slope of DE by two points;

The slope DE = -1.191753

          tan (d) = -1.191753

                  d = -50 degree or 50 degree

Angle of line EC to horizontal is 70 degree

Then angle e is 70 - 50

thus, answer e = 20 degree

   

Oil and Gas Production: Onshore

Onshore production is most economical oil producing compare to offshore.

The picture shows a oil production, equipped with a sucker rod pump (commonly called Donkey pump). For the smallest reservoirs, oil is simply collected in a holding tank and picked up at regular intervals by tanker truck or railcar to be precessed at a refinery.

Other onshore facilities are unconventional production, that target heavy oil, tar sand (oil sand) and fracturing technology for shale oil and gas. Heavy oil and tar sand are producing low value product such as bitumen and parrafin (wax). Besides, it required further extraction due to high sulfur and mineral content.

Shale oil, that's where hydraulic fracturing plays an important role in America's energy supply in new era. (This is interesting topic, author may be discussed special topic later).

Oil and Gas Industry Activities

The oil and gas industry facilities and activities are broadly defined, according to their use in the oil and gas industry production stream:

Exploration:

Includes prospecting, seismic and drilling activities that take place before the development of a field is finally decided.

Upstream:

Typically refers to all facilities for production and stabilization of oil and gas. The reservoir and drilling community often uses upstream for the wellhead, well, completion and reservoir only, and downstream of the wellhead as production or processing. Exploration and upstream/production together is referred to as E&P.

Midstream:

Broadly defined as gas treatment, LNG production and regasification plants, and oil and gas pipeline systems.

Refining:

Where oil and condensates are processed into marketable products with defined specifications such as gasoline, diesel or feedstock for the petrochemical industry. Refinery offsites such as tank storage and distribution terminals are included in this segment, or may be part of a separate distributions operation.

Petrochemical:

These products are chemical products where the main feedstock is hydrocarbons. Examples are plastics, fertilizer and a wide range of industrial chemicals.

Oil And Gas Formation

Generally the scientist believe the crude oil and natural gas are formed by live things. Tiny sea plants and animals died were buried on ocean floor. Over time, they were covered by layers of sediment and rock.
Over millions of  years,the remains were buried deeper and deeper.The enormous heat and pressure turn them into oil and gas. They migrated from the source to the reservoir rock, and trapping by impermeable rock.

Question 1:  Is this live things transformation process continuous? Today a fish died in sea, would it become oil over millions of year later?

Question 2: Why from live things? Live things contains protein (CO-NH), Is amount of hydrocarbon to O and N ratio in reservoir reflect protein ratio?

Question 3: Formation oil and gas need the right temperature and pressure. However found some oil in surface only few meter from ground which is no high temperature and pressure condition.

Question 4: The hydrocarbon was found in some of planet, like Saturn, Jupiter, but without biology.

Pray for MH370

(8 March 2014) MAS flight MH370 has lost contact with Subang air traffic control at 2.40am,

We pray together for MH370.

Flightradar24 replay MH370 missing track.

www.flightradar24.com

another traffic website for marine/ship

www.marinetraffic.com

"Black Box" is not black in colour

24 March 2014, PM Najib announced based on inmarsat new calculation narrow the to MH370 went to south corridor and "ended" at Indian Ocean, east of Australia.

MH370 ping 了七次，分别是时间2:11、3:11、4:11、5:11、6:11、7:11、8:11
“Doppler effect”
观察者与波源互相接近时，波被“压缩”，波长变短、频率变高；互相远离时，波被“拉长”，频率降低。例如，当火车靠近时，人们会感到汽笛声越来越尖利刺耳，而火车远离时，汽笛的声调越来越低沉。所幸国际海事卫星配备有精确到纳秒（nano-second)乃至皮秒(pico-second)级别的时钟，可以测得精确细微的频率变化。
卫星位于赤道上，那七次信号，前组信号是被压缩，然后被“拉长”，就是飞机飞靠近赤道再远离，如果往北，七次信号全被“拉长”，但是先被压缩，然后被“拉长”，结论是往南飞了。
http://news.ifeng.com/world/special/malaixiyakejishilian/content-4/detail_2014_03/26/35137776_0.shtml#_from_ralated

video from:
http://live.wsj.com/video/flight-370-how-pings-revealed-the-flight-path/991D6CB0-852F-4D44-9B44-6107093815EC.html