# mike and the kite

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#### Storyboard Text

• 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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