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  • 21-11-2020
  • Mathematics
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  • 21-11-2020

Answer:

The value of x is 37.36

Step-by-step explanation:

The given triangle is a right-angled triangle where

Base = 25

Angle = 48°

Hypotenuse = x

As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.

[tex]cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36[/tex]

Hence ,

The value of x is 37.36

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