SOLUTION: I am trying to measure an angel to its nearest degree. One of the problems and its answer is tanA 2.05030=64 degrees. I don't know how to get the answer on my calculator it has tan

Algebra ->  Trigonometry-basics -> SOLUTION: I am trying to measure an angel to its nearest degree. One of the problems and its answer is tanA 2.05030=64 degrees. I don't know how to get the answer on my calculator it has tan      Log On


   



Question 950506: I am trying to measure an angel to its nearest degree. One of the problems and its answer is tanA 2.05030=64 degrees. I don't know how to get the answer on my calculator it has tan but no tanA. When I put in 64 tan I get the angle 2.05030 so why can't I get the degree when entering the angle and tan? Do I need a different kind of calculator? I am also trying to measure angles to it's nearest degree using trigonometry. These problems consist of right triangles. One of them is 55 on one side and 51 on the other. The answer is 68 degrees but how do I get that answer?
thanks for any help you can give me.
Shawn

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39626) About Me  (Show Source):
You can put this solution on YOUR website!
"tanA 2.05030=64 degrees"

No sense.
tan%28anyvalue%29 is not any "degrees". The value would be a real number, unitless.

arctan%28something%29=64%2Adegrees, meaningful. The "something" is a tangent value. This says, "the angle whose tangent is 'something' is sixty four degrees".

A scientific calculator will give you tan%2864%29=2.0503. That can make reasonable intuitive sense. Refer to a Unit Circle. You know that 45 degrees in the first quadrant should have slope or tangent of 1. An angle in quadrant 1, greater than 45 degree would have a slope greater than 1, so you might expect 64 degrees has slope about 2 or 3 or like that.

Again, using the scientific calculator, you can find arctan%282.0503%29=64%2Adegrees.

Answer by MathTherapy(10556) About Me  (Show Source):
You can put this solution on YOUR website!

I am trying to measure an angel to its nearest degree. One of the problems and its answer is tanA 2.05030=64 degrees. I don't know how to get the answer on my calculator it has tan but no tanA. When I put in 64 tan I get the angle 2.05030 so why can't I get the degree when entering the angle and tan? Do I need a different kind of calculator? I am also trying to measure angles to it's nearest degree using trigonometry. These problems consist of right triangles. One of them is 55 on one side and 51 on the other. The answer is 68 degrees but how do I get that answer?
thanks for any help you can give me.
Shawn

tan+64%5Eo+=+2.05030. The 2.0503 is the ratio, or fraction that represents 64%5Eo. The 2.0503 is not the
angle measurement in degrees. You already have the degree measure (64%5Eo), so what are you saying here?
You use tan+64%5Eo to get the ratio or fraction that represents 64%5Eo.
You use tan%5E-1%282.0503%29, which is actually arc tan to get the degree measure, (64%5Eo)