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21-12-2020
Mathematics

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Use the cosine ratio or the inverse cosine to solve forx. Round your answer to the nearest tenth.

Use the cosine ratio or the inverse cosine to solve forx Round your answer to the nearest tenth class=

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21-12-2020

Answer:

The value of x = 175.4 mm

Step-by-step explanation:

The given triangle is a right-angled triangle.

Given

Ф = 70

To determine

hypotenuse = x

We know that the trigonometric cosine ratio can be represented as

cos Ф = adjacent / hypotenuse

here

adjacent = 60 mm

Ф = 70

hypotenuse = x

substituting the values

cos Ф = adjacent / hypotenuse

cos 70 = 60 / x

x = 60 / cos 70

x = 175.4 mm

Therefore, the value of x = 175.4 mm

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