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aalyn [17]
3 years ago
12

Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to

the top of the building. If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? Round the answer to the nearest tenth of a foot. 10.3 ft 17.6 ft 30.2 ft 97.2 ft

Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0
She is 17.6 feet closer

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Answer:

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Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

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this means that speed of car A is given by:  \dfrac{x}{17} miles/minutes  ( since speed is defined as the ratio of distance and time).

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This means that the speed of car B is given by: \dfrac{y}{32} miles/minutes

as speed of both cars are equal this means:

\dfrac{x}{17}=\dfrac{y}{32}------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means y-x=12

y=12+x------(2)

on using equation (1) and (2) we have:

\dfrac{x}{17}=\dfrac{12+x}{32}\\  \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.



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