The picture shows a barn door:
a barn door has two parallel bars. a support ab runs across the diagonal between the two parallel bars. the angle made by the diagonal with the parallel bar on top is 45 degrees. the distance between the two parallel bars is 7 feet.
what is the length of the support ab?
7 divided by cos 45 degrees
7 tan 45°
7 divided by sin 45 degrees
7 cos 45°

the length of ab =   7/sin 45

step-by-step explanation:

points to remember

trigonometric ratio

sin θ = opposite side/hypotenuse

from the figure we can see a right angled triangle.we have to find the length of ab.

to find the length of ab

sin θ = opposite side/hypotenuse

sin(45)   = 7/ab

ab = 7/sin 45

therefore the length of ab =   7/sin 45

40 is the final : )

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25