There is a ladder leaning against a wall 6 feet away as shown below. Find the
length of the ladder.
[?]ft
600
6ft

12ft

Step-by-step explanation:

use sin cos tan method

here, we can see 6ft as adj to the angle and the ladder as hypotenuse

so, adj/hyp = cosθ

--> 6/hyp = cos60

--> hyp = 6/cos60

--> hyp, length of ladder =  12ft

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