April 3

# Week 7– Math 10 Trigonometry questions

1. In the picture we can see AC is 50, and we can find out angle ACB is 21˚, we need figure out the length of BC. The angle ACB is the reference angle, so the side AC is the HYP, the side BC is ADJ, so we need use cos ratio. Usually, we around the results to the nearest tenth.

The equation is cos 21˚= $(\frac{x}{50})$ the second step is: Remove X to the left side, so we could get a equation like the picture showing, x=50(cos21˚) then we got the result.

2. In this right triangle PCQ, the angle PCQ is 90 degrees, we already know the side PC is 23, and the side CQ is 40,  we need to figure out the angle CPQ. The angle y is the reference angle, so the side PC is the ADJ, the side CQ is the OPP, so we use tan ratio. And the results we need around to the nearest degrees.

The equation is tan y˚= $(\frac{40}{23})$ And the second step is leave the y alone, the equation must be y˚= $tan^-1\cdot (\frac{40}{23})$ so by the end, we could use calculator to get the result.

3. In this right triangle, the angle NML is 90˚, and the angle MNL is 30˚, we could easily figure out angle MLN is (90˚- 30˚=60˚), so b=60˚. The side ML is 27 and it is OPP side, the side NL is HYP side, so we need use sin ratio. Then the result is 54.

The equation is sin 30˚= $(\frac{27}{a})$ And the second step is to leave the a alone, so I moved the a to the left side and have the equation $(\frac{27}{sin30˚})$ And the last step is using calculator to calculate the results.

April 3

# The tiger or lady story Ending.

• (1 version)By the end of “The Lady or The Tiger”, it is very clear that the tiger will come out of the right door because the princess is quite a savage, miserable and cold cruel woman.   The princess is not that jealous because every women in the world has this trait. Since she is a little jealous, we know that the princess loved the slave and cared about him. However, she still choses the door which has the tiger behind the door because she is a cold and cruel woman. Although people have this trait to protect their own things, this is not a bad thing, just way too extreme in this case. First, she is quite savage. One reason is because she lived in a crazy kingdom that has a wild, mad king who imagined and committed violent activities, commanding and discussing things only by himself. Since the king is her father he must have influenced her a lot. Another reason is that she is a princess, so she is more powerful and wealthy than anyone in the kingdom. Everyone needs to listen to her command and praise her. Everyone is afraid of her, so she became wilder and wilder. Second, she is miserable. Although she is a princess and her father loved her so much, she lived in a horrible kingdom and her father taught her many bad things. She had no choice to do anything, just like she could not choose her husband and could not have a lover and live happily with him forever. The worst thing that was she had to kill her lover by herself. She is crazy too because she just saw her lover and the beautiful lady meet, but could not confirm if they talked to each other or even loved each other. She also has a violent imagination just like her father, and it shows that the love between the princess and the slave is not true love. Otherwise, she would have trusted her lover. Since the princess was savage, miserable, cold cruel, and she realized that she did not love the slave as much as she thought, so she chose the door that had the tiger behind it.
• (2 version)By the end of “The Lady or The Tiger”, it is very clear that the tiger will come out of the right door because the slave is brave, stupid, and not good at guessing a girl’s heart. I must admit that he is handsome enough. Otherwise, the princess would not love him.

He never had much sense, that’s why he only can be a low slave, a poor slave. He must know that loving the princess is guilty, but he still did it, so he is brave. Second, he is stupid because in the ultimate moment of his life, he still trusted the princess so much that he ran directly and firmly to the door that the princess gave him, he even did not use his own mind to think of the question. He is a extremely silly guy. However, this also shows that he loved the princess very much and deeply in heart. Lastly, he is not good at guessing a girl’s heart, which means he needs to talk to other girls carefully. Otherwise, the princess would not doubt he did not love her anymore and love the beauty. He is so naive, and that let him die.

Since the slave was brave, stupid, and naive, so the tiger will come out of the right door.