There is a small island P in the sea. There is a reef in 18 nautical miles around it. The fishing boat tracks the fish from west to East. At point a, it is measured that the small island P is 60 ° north by East, and it sails 12 nautical miles to point B. at this time, it is measured that the small island P is 45 ° north by East? Please give reasons

There is a small island P in the sea. There is a reef in 18 nautical miles around it. The fishing boat tracks the fish from west to East. At point a, it is measured that the small island P is 60 ° north by East, and it sails 12 nautical miles to point B. at this time, it is measured that the small island P is 45 ° north by East? Please give reasons

Reason: PD ⊥ AC is set at d when passing point P. let PD be x, in RT △ PBD, ∵ PBD = 90 ° - 45 ° = 45 degrees. ∵ BD = PD = X. in RT △ pad, ∵ pad = 90 ° - 60 ° = 30 ° ∵ ad = xtan30 ° = 3x ∵ ad = AB + BD ∵ 3x = 12 + X ∵ x = 123 − 1 = 6 (3 + 1) ∵ 6 (3 + 1) ∵ 18 ∵ the fishing vessel will continue to sail eastward without changing its course, and there is a risk of reef

Human life is like a flood. It is difficult to stir up beautiful waves without encountering islands and reefs

Human life is like a flood. It is difficult to stir up beautiful waves without encountering islands and reefs. The reality is this shore, and the ideal is the other shore. There is a turbulent River in the middle, and action is a bridge on the river. Human value is determined by oneself. The more the flint is beaten, the more brilliant the light it emits. Just as bad quality can be exposed in luck, The best qualities are shown in adversity
The ultimate value of life lies in the ability to wake up and think, not just in survival. Life is composed of various changes, endless cycle of pain and joy. The eternal blue sky only exists in the heart. It's luxury to ask for real life. Diligence is far more valuable than gold
Hope is attached to existence. If there is existence, there is hope. If there is hope, there is light. There is no eternal night in the world. There is no eternal winter in the world. The past belongs to death, and the future belongs to yourself. Winter has come. Will spring be far behind? If life deceives you, don't be sad or angry! When it's not going well, put up with it: believe it, Happy days will come soon. Fatalism is an excuse for the weak who lack willpower
There are two kinds of people in the world, one is to waste time; the other is to live a meaningful life. In the eyes of the first kind of people, life is like a sleep, if in his eyes, it is to sleep in a warm and soft bed, then he is very satisfied; in the eyes of the second kind of people, it can be said that life is to build merit, and people enjoy their own happiness in the accomplishment of this merit
Ostrovsky

As shown in the figure, there is a small island a on the sea. There is a reef within 8 nautical miles around it. The fishing boat tracks the fish from west to East. At point B, it is measured that island a is 60 ° north by East and reaches point d by 12 nautical miles. At point D, it is measured that island a is 30 ° north by East. If the fishing boat continues to drive due east, is there any danger of hitting the reef?

Just find out whether the shortest distance from a to BD is in the circle or on the circle with a as the center and 8 nautical miles. As shown in the figure, AC ⊥ BD is made through a at point C, then the length of AC is the shortest distance from a to BD, ∫ CAD = 30 °, ∫ cab = 60 °, ∧ bad = 60 ° - 30 °, ∧ abd = 90 ° - 60 ° = 30 °, ∧ abd = ∧ ba

What's the meaning of looking at the ocean with a smile? What's the spirit of the reef?

The image in the poem has symbolic meaning. The waves "rushing endlessly" at the rocks symbolize the people who persecute others; while the rocks, which are still standing with scars, "looking at the ocean with a smile", symbolize the people who are indomitable, optimistic and confident