Question

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

Answer 1

Answer:

the base of the ladder is 27.89  ft away from the building

Step-by-step explanation:

Notice that this situation can be represented with a right angle triangle. The right angle being that made between the ground and the building, the ladder (32 ft long) being the hypotenuse of the triangle, the acute angle of $29.37^o$ being adjacent to the unknown side we are asked about (x). So, we can use the cosine function  to solve this:

$cos(\theta)=\frac{adjacent}{hypotenuse} \\cos(29.37^o)=\frac{x}{32\,\,ft}\\32 \,\,cos(29.37^o)\,\,ft=x\\x=27.887\,\,ft$

which rounded to the nearest hundredth gives;

x = 27.89  ft

Answer 2

Answer:

27.89

Step-by-step explanation:

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