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15.04.2020 •
Mathematics
Town Hall is located 4.3 miles directly east of the middle school. The fire station is located 1.7 miles directly north of Town Hall.
Part A
What is the length of a straight line between the school and the fire station? Round to the nearest tenth.
Part B
The hospital is 3.1 miles west of the fire station. What is the length of a straight line between the school and the hospital? Round to the nearest tenth.
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Ответ:
a. The length of a straight line between the school and the fire station is 4.6 miles
b. The length of a straight line between the school and the hospital is 2.1 miles
Step-by-step explanation:
See attachment
Given.
Distance between the school and the town hall = 4.3 miles directly east
Distance between the fire station and the town hall = 1.7 miles directly north.
The length of a straight line between the school and the fire station is calculated by solving the length of hypotenuse of the right angled triangle (see attachment A)
Using Pythagoras theorem;
x² = 1.7² + 4.3²
x² = 2.89 + 18.49
x² = 21.38 --- Take square roots
x = 4.6 miles
The length of a straight line between the school and the fire station is 4.6 miles
b.
The length of a straight line between the school and the hospital is calculated by solving the length of hypotenuse of the right angled triangle (see attachment B)
Using Pythagoras theorem;
x² = 1.7² + 1.2²
x² = 2.89 + 1.44
x² = 4.33 --- Take square roots
x = 2.1 miles
The length of a straight line between the school and the hospital is 2.1 miles
Ответ: