What is the measurement of theta in degrees?

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Hello from MrBillDoesMath!

Answer: 48.2 degrees

Discussion:

In the diagram, "6" is the x- distance along the side adjacent to theta, and

3 * sqrt(5) is the y-distance along the side opposite angle theta.

By definition of tangent of angle, using "@" for theta, we have

tan (@) = opposite/adjacent = 3 * sqrt(5) / 6 = sqrt(5)/2

So @ = (inverse tangent (sqrt(5)/2) ) = 48.189 degrees (approximately)

Thank you,

MrB

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