A 32 foot ladder is leaning against a building and forms a 29.37 angle with the ground how far away from the building is the base of the ladder round to nearest hundredth

In the picture below, h is height of building and x is the distance the base of the ladder is away from the base of the building.

We use trigonometry to find x, particularly the cosine function.

cos(29.37°) = x/32

cos(29.37°)(32) = x

27.8870633052 = x

We now round off to the nearest hundredths, which means to two decimal places.

27.89 feet = x

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this