Find x rounded to one decimal place Find x rounded to one de

Find x rounded to one decimal place. Find x rounded to one decimal place.

Solution

12.    tan30 = 82/(x+y) ----(1)

tan60 = 82/y ------(2)

So, y = 82/tan60 = 47.34

Now substituting in equ. (1)

x +47.34 = 82/tan30 = 142.03

x= 94.69 = 94.7

13 hypotenuse of triangle with angle 60deg:

sin 60 = 45/h

h = 51.96

Now triangle with 65 deg angle :

sin65 = 51.96/x

x = 57.3