Question

Help me with the question in the pic please and thank u!

Answer 1

Answer:

1.98

Step-by-step explanation:

In this problem, we are:

Given: ∠D = 26°, Hypotenuse (DF) = 4.5

To solve: EF

Now through the given, we are to focus on point D to solve for EF.

We need to find the relationship of point D to DF and EF.

The relationship here is sine.

Reason: $\frac{opposite}{hypotenuse}$

Through point D, DF is the hypotenuse and EF is the opposite side.

So let's solve this simply through algebra,

sin = $\frac{opposite}{hypotenuse}$

sin(26°) = $\frac{EF}{4.5}$

0.44 = $\frac{EF}{4.5}$

0.44 × 4.5 = EF

1.98 = EF