Answer:
y=46.445
x=24.04
Explanation:
rule for first triangle which is right isosceles triangle with angles 30-60-90
sin 30 = opp/hypt.
0.5= opp/34
opp=17 which is the height
the part of y in the first triangle = a^2+b^2=c^2
a^2= 17^2 , b^2=y , c^2 =34
y ( first triangle )= √867=29.445
second triangle is right angle triangle 45-90-45
x= 24.04
sin 45= opp/hypt.
1/√2 =17/x
x= 17*√2 = 24.04
solving for other part of y in the right triangle
h= y = 17
the whole base y= 29.445+17 = 46.445