Question

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

Answer 1

The value of x = 175.4 mm

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