A43 foot ladder is leaning against a building and forms a 29.37 degree angle with the ground. how far away from the building is the base of the ladder? round your answer to the nearest hundredth.

37.5

Step-by-step explanation:

adjacent=x

Hypotenuse = 43

θ=29.37

cosθ=adjacent / hypotenuse

cos29.37 = x / 43

cross multiply

x = 43 × cos29.37

x = 43 × 0.87147

x = 37.47

x= 37.5 to the nearest tenth

38 foot

Step-by-step explanation:

Given in question as length of ladder against the wall is 43 foot

and angle making between ladder foot and ground = 29.37

Look at the figure ,

Now we write this as cos angle =

i.e cos 29.37 =

or base  = 43 cos 29.37

   Base = 37.47

Or Distance of ladder from base of building is 38 foot     ( Answer)

t hope this

:

step-by-step explanation: