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KiRa [710]
3 years ago
11

Find the value of x in the given right triangle.

Mathematics
2 answers:
leonid [27]3 years ago
5 0

Answer:

The answer is 65.3 to the nearest tenth

Step-by-step explanation:

You'll use the Pythagoras theorem to find the unknown side first

then you'll use the sin rule to solve for x

Ierofanga [76]3 years ago
4 0

Answer:

The value of x = 65.4°

Step-by-step explanation:

Given

hypotenuse = 12

To determine

The value of ∠x = ?

<u>Using the trigonometric ratio</u>

cos x = adjacent / hypotenuse

here:

  • Adjacent of angle ∠x = 5
  • hypotenuse  = 12

substituting adjacent = 5, hypotenuse = 12 in the formula

cos x = adjacent / hypotenuse

cos x = 5 / 12

x = arccos (5/12)

x = 65.4°

Therefore, the value of x = 65.4°

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