A -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a angle with a short vertical support.

Complete question :

A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.

What is the length x of a diagonal support, to the nearest tenth of a foot?

13.80 feets

Step-by-step explanation:

Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :

To obtain x :

Sinθ = opposite / hypotenus

Opposite = 12.5 feets ; hypotenus = x ; θ = 65°

Sin 65 = 12.5 / x

0.9063077 * x = 12.5

x = 12.5 / 0.9063077

x = 13.792225

x = 13.80 feets

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

answer4 to the second power is 16

and 4 to the third power is 64,