Answer:
a) d = 36 ft. ( using Pithagoras´theorem )
b) d = 36 ft ( Using ( function sin ) trigonometry
Step-by-step explanation:
a) Using Pythagoras´Theorem:
Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.
d² = a² + b²
In this particular case a = b = 25 feet then
d² = (25)² + ( 25)²
d = √ 2 * (25)²
d = √2 * 25
d = 1,414*25
d = 35,35
d = 36 ft.
b) Using trigonometry:
We know that sin 45° = cos 45° = √2 / 2
In a right triangle
sin α = opposite side / hypothenuse (d)
sin 45° = √2 / 2 = 25/ d
√2 *d = 2* 25
d = 50/√2
d = 50 / 1,414
d = 35,36
d = 36 ft
Answer:
5/9
Step-by-step explanation:
The distance between the two schools on the map is (C) 4.2 inches.
<h3>
What is the distance?</h3>
- Distance is a numerical measurement of the distance between two objects or places.
- The distance can refer to a physical length or an estimate based on other criteria in physics or common usage.
- The distance between two points A and B is commonly expressed as |AB|.
To find the distance:
On the map,2 inches represents 5 miles.
Thus, we can write:
- 2 miles = 2 inches
- 1 mile = 2/5 inches ..... (1)
Since the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1).
- 10.6 miles = 10.6 × 2/5 = 21.2/5 = 4.24 inches.
Therefore, the distance between the two schools on the map is (C) 4.2 inches.
Know more about distance here:
brainly.com/question/17273444
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The complete question is given below:
Kim is drawing a map of the different schools in her school district. she knows that her middle school is 10.6 miles away from the middle school that her best friend attends. if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map, to the nearest tenth of an inch?
(A) 0.2 inch
(B) 0.9 inch
(C) 4.2 inches
(D) 26.5 inches
Answer:The answer is 4
Step-by-step explanation:
The exact answer is 3 1/4, but then you have to round it up to get 4
