Which of the following statements is correct? A= 1/3 ÷ 4 = 12 B= 1/2 ÷ 4 = 1/8 C= 1/8 ÷ 6 = 3/4 D= 1/9 ÷ 2 = 1/81
1 answer:
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Answer: 42.21 km
Step-by-step explanation:
We can solve this using trigonometry, since we have the following data:
is the the angle of elevation
is the horizontal distance between the plane and the radar station
is the hypotenuse of the right triangle formed between the radar station and the airplane
Now, the trigonometric function that will be used is <u>cosine</u>:
because
is the adjacent side of the right triangle
Finding :
Reduce each ratio to its minimum expression to find if they are equal.
35:28
10:8
Since both ratios reduce to 5:4, they are equivalent.
Another way to check a:b is equivalent to c:d, is that a*d = b*c
In this case, this will be true if 35 times 8 is equal to 10 times 28:
Since both products are equal, then the ratios are equivalent.