If tan A=11/17 what is sin A

Question

In a right triangle <A and <B are acute 

Answer 1

Dear Donna,

 

Now you have Tan A = .6471, but you need to find the angle measure of ∠A

 

Use a graphing calculator or one that does trig. functions.  Find the inverse function for the tan A, which is tan ^-1

 

(.6471)= 32.9069º. On a graphing calculator press the  2nd button in blue and then look for tan ^-1 under the tan A

 

bottom.

 

Now you have the missing Angle A.     Substitute the degrees for Angle A into Sin A.   Sin 32.9069≈.54327  Answer

 

 

 

Note:  It might be interesting to draw the triangle.  We have one right angle, one acute of 32.9069, and one third

 

angle of 180-32.9069=______________ measure of third angle.  Both angles are acute as stated in story problem.

 

I hope that this work helps you.

 

                                                                                                  Thank you,

                                                                                                   Susan C.