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3 years ago

On a map,1 inch equals 10 miles. Two cities are 8 inches on the map. What is the actual distance between the cites?

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

if 1 in= 10 miles, then, 8 in= 80 miles

Step-by-step explanation:

Trava [24]3 years ago

8 0

If 1 inch equals 10 miles, 8 needs to be multiplied by 10.

8 × 10 = 80

<h2>Answer:</h2>

The actual distance between the cities is 80 miles.

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An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observe

Karolina [17]

See the attached figure to better understand the problem

we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1

in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2

in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3

equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4

substitute equation 1 in equation 4

[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
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