Answer:
x = 56
Explanation:
a^2 + b^2 = c^2
12^2 + b^2 = 14.5^2
-12^2
b^2 =66.25
sqrt(b) = sqrt(66.25)
b= 8.13941029...
b=8.1
b is the grass part, which will extend from the front end of the ladder to the end of the slide.
To solve an SAS triangle
use The Law of Cosines to calculate the unknown side,
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two angles,and then use the three angles add to 180° to find the last angle.
Angle ∠A = 55.852° if we round 56
Angle ∠B = 34.148° if we round 34
double check 56+34+90 = 180