Question

Triangle D E F is shown. Angle E D F is a right angle. The length of D E is 8 and the length of hypotenuse E F is 10.

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

Answer 1

Answer: sin(E) = 0.6

Explanation:

10² = DF² + 8² ( Pythagoras theorem)

100 = DF² + 64

DF² = 36

DF = 6

sin(E) = opposite side/ Hypotenuse

= DF/EF

= 6/10 = 3/5 = 0.6