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One day Mike was very bored. It was a beautiful day out and he needed something to do.
"I know!", he said, "I'll go to the fair!"
At the fair Mike played lots of games, but he had his eyes on the best prize
The red kite was what he needed to make the day. Mike won the kite and went to beach to try it.
A gust of wind came in and carried the kite into a palm tree. Mike was 9m away from the kite and the angle of elevation off the ground was 34º. The swaying palm tree and the ground made a 76º angle. He needed to know the length of ladder he needed.
Mike knew that the angle between the kite string and tree must be 70º. Using the law of Sines, he figured that the ladder must be 5.4 meters
Another breeze swayed the palm tree so that the angle between the tree and kite string was 13º. The distance from the tree to the ladder was 9m. The angle between the ladder and ground was 22º
Mike wanted to know the height of the tree. He knew that sin13º/9 must equal sin22º/height of tree. By using the Law of Sines he figused the tree was 15m tall. But oh no! He fumbled the kite into the tree next to him.
Mike wanted to find the height of the tree, so he took the tangent of 61 and cross multiplied it was the height of the tree over 5. From this he found that the height of the second tree to be 9m.
The second tree formed a 90º with the ground. The angle of elevation for the ladder was 61º. The distance between the base of the ladder and tree was 5m.
Mike got his kite back and his day was saved. Using the Law of Sines and SOHCAHTOA he was able to retrieve his kite.
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