Question 278282
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