Question

GEOMETRY HELP
The measure of angle 0 in the diagram is ___ degrees. Round to nearest tenths

Answer 1

Explanation:

remember the trigonometric triangle in the circle.

sine is the up/down leg, cosine is the left/right leg.

and because we are not in the norm-circle with radius 1, we have to multiply every trigonometric function by the actual radius (13).

so, we could pick any side I choose the shorter one :

5 = cos(theta)× 13

cos(theta) = 5/13 = 0.384615385...

theta = 67.38013505...° ≈ 67.4°