Answer:
yes ; 17.5 ft
Step-by-step explanation:
Triangle PRQ is isosceles
the base angle are equals
we know two legs, so we can find the tangent of angle x
tan = opposite/adjacent
tan = 7/16 = 0.4375
the angle x measure 23.6 degrees circa (we can calculate this with the button tan -1 on the calculator)
the roof is safe
B we can use the Phytagorean theorem to solve this
PR = √16^2 + 7^2 = √256 + 49 = 17,46... = 17.5 ft
x = 5/2
4x - 1/2 = x +7
4x - 1/2 - x = 7
4x - x = 7 + 1/2
3 x = 15/2
Answer from Gauthmath
look at the attachment above ☝️
