Question

The sides of the triangle representing three force vectors are in the ratio 2000 : 1732 : 1000. The angles of
the triangle (in degrees) are
(A) 70, 65, 45
(B) 80, 55, 45
(C) 90, 60, 30
(D) 90. 61. 39​

Answer 1

Answer:

90, 60, 30  

Explanation:

The sides of the triangle representing three force vectors are in the ratio 2000 : 1732 : 1000. The angles of

the triangle (in degrees) are

(A) 70, 65, 45

(B) 80, 55, 45  

(C) 90, 60, 30  

(D) 90. 61. 39​

(C) 90, 60, 30    is correct answer

2000 / SinA  = 1732/SinB  = 1000/SinC   where A + B + C = 180°

Solving we get  90, 60, 30

Answer 2

Answer:

option C is correct

90 , 60, 30

Explanation:

step 1 : simplify the ratio given

2000 : 1732 : 1000

=  2 : 1.732 : 1

now, we know that $\sqrt{3}$ = 1.732

so the ratio becomes

2 : root 3 : 1

sin 30 = 1/2

sin60 = root3/2

so option c is correct