Question

Given right triangle DEF what is the value of sin(E)?

Answer 1

Given:

- angle: E

- opposite-leg : 3

- adjacent - leg: 4

- hypotenuse: 5

sin(E) = opposite-leg / hypotenuse = 3 / 5

Answer: 3 / 5

Answer 2

Answer:

Given Right Δ DEF,

It is not given that whether ∠D=∠F =90°

As looking at the options provided , Either Base and altitude =3 or 4 and

Hypotenuse =5,

Case 1. When ∠D=90°

In Δ E D F

Sin (E) = $\frac{Altitude}{Hypotenuse}$

          = 3/5  OR 4/5 [ if base=3, then altitude =4 and if Base =4, Altitude=3]

Case 2. When ∠F=90°, In ΔEFD

  Sin (E) = $\frac{Altitude}{Hypotenuse}$

              = 3/5 or 4/5 [Depending on whether Base =3 then altitude  =4, OR Altitude =3 , then Base =4]

So looking at all the options 3/5 and 4/5 are correct answers.

But it is given that answer is 3/5 , so whether you take ∠D or ∠F as 90° take Altitude=3 and Hypotenuse =5 and base =4.