The length of AD to the nearest hundredth is 5.82 units.
What are trigonometric ratios?
Trigonometric ratios are particular measurements of a right triangle, which is a triangle having a 90° angle. The legs are the two sides that make up the right angle in a right triangle, while the hypotenuse is the third side that is across from the right angle.
Types of trigonometric ratios:
The six trigonometric ratios are
- sine (sin),
- cosine (cos),
- tangent (tan),
- cotangent (cot),
- cosecant (cosec), and
- secant (sec).
Calculation for the side AD:
In triangle ACD,
Angle CAB = 34 degrees
Angle ADC = 31 degrees
Side AB = 3 units
Now, consider triangle ABD.
Sin (31) = AB/AD
AD = AB/sin 31
AD = 3/sin 31
AD = 5.82
Therefore, the length of the side AD is 5.82 units.
To know more about sine rule, here
https://brainly.com/question/27174058
#SPJ2
