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What is the length of side x? Round your answer to the nearest whole number.

What is the length of side x? Round your answer to the nearest whole number.-example-1
User Rafalotufo
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1 Answer

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The measure of side length x in the triangle is approximately 15 meters.

The correct option is D) 15 meters.

The figure in the question is a triangle.

To solve for the missing side length, we simply use the cosine rule:

It can be expressed as:

x² = a² + b² - 2ab( cos X )

From the figure:

a = 17 m

b = 22 m

Angle X = 42 degrees

x =?

Plug the given values into the above formula and solve for x:

x² = a² + b² - 2ab( cos X )

x² = 17² + 22² - ( 2 × 17 × 22 × cos(42) )

x² = 289 + 484 - ( 748 × 0.7431 )

x² = 773 - 555.8388

x² = 217.1612

x = √217.1612

x = 14.7

x ≈ 15 meters

Therefore, the side length 'x' measures 15 meters.

Option D) 15 meters is the correct answer.

User Haboutnnah
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