Area of trapezoid : (Base 1 + base 2) x h x 1/2
Let's solve!
( 2+6) x 5 X1/2
= 40x1/2
=20
20 in squared is the area!
By definition, the sine of an angle is given by:

Where,
C.O: opposite leg
h: hypotenuse
The hypotenuse is given by:

So, replacing values we have:

Rewriting we have:
Answer:
the sine value of this function is:
A)5 times square root 61 over 61
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡