# math story board

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#### Storyboard Text

• ﻿Hey Janice! I know we haven't talked in awhile but I need your help with something because I know you are good at math
• The meeting
• I would be glad to help, what's the question?﻿
• The Question
• ﻿I'm doing renovations on my house and I need to know if the angle of the top of the tree to the house so I can have someone see if that's a good angle for shade
• Yeah, I will help, but I think I will need to see the logistics of the tree first ﻿
• The Beginning
• So this is a pretty tall tree. You will need to find the height of this tree and the distance of the top of the tree to the house
• ﻿
• Starting﻿
• When you find the height of the tree and the distance, you have just found the legs of a triangle, so then all you need is the hypotenuse because we need to find the hypotenuse of the triangle
• ﻿
• First steps ﻿
• The hypotenuse will be c^2= a^2+b^2 and a & b will be the legs﻿
• ﻿
• ﻿Drawn out
• to find the angle of the top of the tree to the house you need to use the sin function﻿
• ﻿
• The hypotenuse will be 42 feet when the math is done
• ﻿Say the height of the tree is 40 ft and the distance of the tree to the house is 15 feet
• ﻿to find the angle you must use sin-1 times the fraction you find from opposite over hypotenuse -So the math would be sin-1(15/42)= 20.9 degrees
• ﻿sin is the opposite side value of the angle needed over the hypotenuse
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