Question

The angel pitch of a roof is safest when measuring between 18 - 27. According to these guidelines, is the roof pictured in the image safe? I cannot figure out where to start with this question nor how to solve it.

Answer 1

we know that

YZ=RV+VQ ----> by addition segments postulate

substitute given values

30=RV+15

so

RV=30-15=15 ft

that means

Point V is the midpoint of the segment RQ

triangle RPQ is an isosceles triangle

mFind out the value of angle x

tan(x)=4/15 ------> by TOA

x=tan^-1(4/15)

x=14.93 degrees

The angle x is not between 18 - 27

therefore

The roof Is not safe