A 22' tall building has a ladder leaning on it. The ladder forms a 51° angle with the ground. How long is the ladder?

Round your answer to the nearest integer. ________ feet

Question

A 22' tall building has a ladder leaning on it. The ladder forms a 51° angle with the ground. How long is the ladder?

Round your answer to the nearest integer.  ________ feet

anonymous · Answer

attachment

anonymous · Answer

For this problem you need to use trigonometry!
The opposite side is 22 and the angle is 51. The relationship you want is:
sin(x) = opposite/hypotenuse
sin(51) = 22/x
22/sin(51) = x
28 ft = x (well really about 28.3087 ft)

anonymous · Answer

But when I put 21(sin) is like a decimal?

anonymous · Answer

Oh wait.... nvm.

anonymous · Answer

sin(51) is about .77730871 ish

anonymous · Answer

Let h = height of building and L = length of the ladder.

L = h Csc[51 Degrees] = 22 Csc[(51/180)*Pi] = 28.3087 or 28 rounded to nearest foot.