A triangle has a=5 meters, b=12 meters, and c=13 meters. to the nearest tenth of a degree, what is the measure of angle B?

Question

Please show the steps taken to find the answer.

The following choices are provided for answers:

A.) 22.6

B.) 24.6

C.) 67.4

D.) None of the above

Answer 1

Hi, Brook.

 

You might recognize these three numbers as a Pythagorean triple. These are three integers that satisfy the Pythagorean theorem. 5^2 + 12^2 = 25+144=13^2=169!

 

You then have your choice of which trigonometry function to apply, using SOHCAHTOA. I'll use tan B= 12/5=2.4, so angle B is 67.4 degrees.  

 

The correct answer is therefore C.

 

Jeff