Question

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Find the measure of angle theta. ​

Answer 1

48.2

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.

`\cos(theta) = (36)/(54)`

`\cos(theta) = (2)/(3)`

Take the inverse of both sides

`\cos {}^( - 1) ( (2)/(3) ) = x`

Theta is equal to

`48.2`