Answer:
EF is 1.98
Explanation:
For right triangles, you solve for sides and angles using the trig. ratios. You remember then with the acronym SohCahToa.
It is read as:
<u>S</u>ine is <u>o</u>pposite over <u>h</u>ypotenuse.
<u>C</u>osine is <u>a</u>djacent over <u>h</u>ypotenuse.
<u>T</u>angent is <u>o</u>pposite over <u>a</u>djacent.
Which side is opposite or adjacent depends on which angle is the angle of reference, the angle you are talking about. The adjacent side touches the angle of reference.
In this problem, angle D can be the angle of reference.
Since we know DF the hypotenuse, and we are looking for EF, the opposite side, we should use the Sine ratio.
sin D = sin 26° ≈ 0.44
sin D = EF/DF = EF/4.5
Substitute sinD for 0.44 and then isolate EF.
0.44 = EF/4.5
0.44(4.5) = EF Multiply both sides by 4.5
EF = 1.98
The measurement of EF is 1.98.
