SOLUTION: Hello my teacher gave my class a worksheet with this problem: The lengths of two sides of a parallelogram are 6 inches and 10 inches and the angle between them measures 41 degr

Question 278282: Hello my teacher gave my class a worksheet with this problem:
The lengths of two sides of a parallelogram are 6 inches and 10 inches and the angle between them measures 41 degrees. What is the length of the altitude on the long side?
Thanks for any help.

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
The lengths of two sides of a parallelogram are 6 inches and 10 inches and the angle between them measures 41 degrees. What is the length of the altitude on the long side?
let ABCD be the parellogram . ab =6 and bc =10 the angle between them = 41 deg.
Extend DA to P and join it from b
We have to find length length DP. DP = DA + AP
we have to find length AP in triangle APB
AP / AB = cos 41
Cos 41=0.98
AP = 0.98 * AB
AP= 0.98*6
AP=5.88
The length of altitude = 5.88 +10 = 15.88 inches

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