Answer: Choice D
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Explanation:
Abbreviations:
sec = secant
cot = cotangent
cosec = cosecant (csc is also a widely used abbreviation)
Let's go through the answer choices one by one
Choice A is false because secant involves the hypotenuse
Choice B is false because opposite/adjacent is the ratio for tangent
Choice C is false because cosecant (csc) involves the hypotenuse
Choice D is true. This is the proper ratio for secant. It is the reciprocal of the ratio for cosine. Recall that cosine's ratio is adjacent/hypotenuse.
The answer is √58 = 7.62
So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).
Use the Pythagorean theorem:
c² = a² + b²
a = 3
b = 7
c² = 3² + 7²
c² = 9 + 49
c² = 58
c = √58
c = 7.62
Answer:
1820mm²
Step-by-step explanation:
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