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Eva8 [605]
3 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

4/5

Step-by-step explanation:

The cosine of the angle is found as the ratio of adjacent to the hypotenuse.

To find it first find the sin 45 = √8/ x. This is equal to 4.

sin 45 = √8/ x

x = √8/ sin 45

x = 4

This means the triangle FHE has side lengths 3, 4,  and 5.

The cosine of FHE will be FH / HE. This is 4/5.

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Answer:

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Option B is correct answer.

Step-by-step explanation:

We need to find for what value of x is sin\: x = cos 19^{\circ}, where 0°< x < 90°?

Solving:

sin\: x = cos\: 19^{\circ}\\Finding \:cos\: 19^{\circ}=0.94551\\Putting\:value:\\sin\:x=0.94551\\Now\:taking\:sin\:inverse\\x=sin^{-1}(0.94551)\\x=71^{\circ}

So, we get x = 71°

Option B is correct answer.

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