Question

Math question NO Guessing Please Help

Answer 1

The correct answer is C,

A= 40.4

B= 49.6

C=23

Answer 2

Hey there !

So, We are given a right angled triangle

in which a = 14.9 , b = 17.5

Now,

Using Pythagoras theorem

c² = a² + b²

c² = (14.9)² + (17.5)²

c = 22.9 ≈ 23

Now,

$\boxed{\frac{a}{ \sin(A) } = \frac{b}{ \sin(B) } = \frac{c}{ \sin(C) }}$


We know that,
C = 90°

14.9 / SinA = 23/sin90

sinA = 14.9 / 23 ≈ 1/√2 ≈ sin40.4

17.5 / sinB = 23 / sin90

sinB = 17.5 / 23 ≈ 1/√2 ≈ sin49.6

Here, sinA value comes out to be 0.65 , We know that sin45 = 0.7 , So, SinA should be some what lesser angle.

And sinB comes out to 0.76 , so it is a angle greater than 45 .

Therefore, A = 40.4 , B = 49.6 , c = 23

Option is ( C)