kailynn23
kailynn23 kailynn23
  • 23-08-2021
  • Mathematics
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Please help!
Please explain your answer because I need to learn this!

Find the measure of angle theta. ​

Please help Please explain your answer because I need to learn this Find the measure of angle theta class=

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Аноним Аноним
  • 23-08-2021

Answer:

48.2

Step-by-step explanation:

We have a right angle so we can do our three trig ratios,

Sine Cosine Tangent

Remeber SOHCAHTOA.

We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.

[tex] \cos(theta) = \frac{36}{54} [/tex]

[tex] \cos(theta) = \frac{2}{3} [/tex]

Take the inverse of both sides

[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]

Theta is equal to

[tex]48.2[/tex]

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