Question

Which equation represents h in the triangle? A) h = 6sin37° B) h = 10sin37° C) h = 6 10 sin37° D) h = 10 6 sin37°

Answer 1

Opposite 37 is h

Angle opposite 6 is 90

Sine rule:

h/sin37 = 6/sin90

xsin37

h = 6 x sin37/ sin90

h = 3.6108....

h = 3.6 to 1dp

A) 6xsin37= 3.6108...

B) 10xsin37 =6.018...

C) 6x 10 xsin37 = 36.108...

D) 10 x 6 x sin37 = 36.108...

Thus, answer is A

Hope this helps!

Answer 2

A

Explanation:

Consider the left triangle within the big triangle.

Identity :

sin θ = opposite side / hypotenuse

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Taking the sine value of the angle to find h :

⇒ sin37° = h/6

⇒ h = 6sin37°