Respuesta :

the value of 'x' is 0. 9

How to determine the value

For the given triangle, we have the;

  • Adjacent side = 7
  • Opposite side = 13 + x

We want to find the value of x

Using the tangent ratio

Tan θ = opposite/adjacent

Let's substitute the value of theta, opposite and adjacent

Tan 60 = 13 + x / 7

1. 73 = 13+ x/ 7

cross multiply

1. 73 × 7 = 13 + x

12. 1 = 13 + x

x = 13 - 12. 1

x = 0. 9

We can see that the value of x is 0. 9

Thus, the value of 'x' is 0. 9

Learn more about trigonometric identities here:

https://brainly.com/question/7331447

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