If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A)32.5° B)39.2° C)50.5° D)57.5°

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = =

a = 7 and b = 11

= 49

= 121

Plugging in the values, we will get:

= 49 + 121

= 170

c =

To calculate the unknown angle B, we can use law of sine.

Law of sine = = =

So,

=

=  

Sin90 = 1

sinB =

B = ()

B = 57.5°

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: