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Oduvanchick [21]
3 years ago
11

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 bas

e of the ladder round to nearest hundredth
Mathematics
2 answers:
BARSIC [14]3 years ago
6 0

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

grigory [225]3 years ago
4 0

Answer:

27.89

Step-by-step explanation:

i took the test!!

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