72 is the correct answer I think
Answer:
x = 19; y = 19√3
Step-by-step explanation:
sin 30° = opp/hyp
sin 30° = x/38
x = 38 × sin 30°
x = 19
cos 30° = adj/hyp
cos 30° = y/38
y = 38 × cos 30°
y = 38 × √3/2
y = 19√3
Use pythagorians theorem a^2 + b^2 = c^2. 4^+20^ = 20.40 feet. The ladder is 20.40 feet long.
The secant tangent theorem states that the distance from (y to the tangent point x) squared = the external segment * length of the secant.
Put in plane English
YX^2 = YV * YZ
YV = 9
YZ = 9 + 19 = 28
YX^2 = 28 * 9
yX^2 = 252
YX = sqrt(252)
YX = 15.87
