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Q: If the measure of angle A is 30° and AC=18,find the length of AB?

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An angle with 30 degrees is an acute angle.

105 degrees

A right triangle, whose the length measure of the side opposite to the angle of 30 degrees is one half of the length measure of the hypotenuse.

A central angle is measured by its intercepted arc. Let's denote the length of the intercepted arc with s, and the length of the radius r. So, s = 6 cm and r = 30 cm. When a central angle intercepts an arc whose length measure equals the length measure of the radius of the circle, this central angle has a measure 1 radian. To find the angle in our problem we use the following relationship: measure of an angle in radians = (length of the intercepted arc)/(length of the radius) measure of our angle = s/r = 6/30 = 1/5 radians. Now, we need to convert this measure angle in radians to degrees. Since pi radians = 180 degrees, then 1 radians = 180/pi degrees, so: 1/5 radians = (1/5)(180/pi) degrees = 36/pi degrees, or approximate to 11.5 degrees.

90 - 30 = 60 degrees.

A 60 degree angle

You're given side AB with a length of 6 centimeters and side BC with a length of 5 centimeters. The measure of angle A is 30°. How many triangles can you construct using these measurements?

90 - 30...

There is no particular name for the trigonometric ratio which depends on the measure of a specific angle.

Using Pythagoras' theorem for a right angle triangle its hypotenuse length is 78 in.

It is 60 degrees

a 60-degree angle

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