Question

Consider the following truss.
find d and g. answer in units of ft.

Answer 1

10^2+16^2=c^2
18.87=c
9.435=1/2c
c^2+d^2=g^2
sin (theta)=10/18.87
10/18.87=d/9.435 tangent
9.435^2+(94.35/18.87)^2=g^2
you can do the math.

Answer 2

that should be (1/2c)^2+d^2=g^2

Answer 3

Playing with my nspire

Answer 4

though my units are in cm and not in ft. The numbers are still correct

Answer 5

you can do some algebra to get \[g=\frac{89}{8}\] and \[d=\frac{5}{8}\sqrt{89}\]