Answer:
The distance from he ball to the goal is 11.85 feet (Approx) .
Step-by-step explanation:
As given
The angle of elevation from a soccer ball on the ground to the top of the goal is 34° .
If the goal is 8 feet tall.
Now by using the trigonometric identity .
As shown in the diagram given below
Perpendicular = AB = 8 feet
Base = BC
Put all the values in the identity .
BC = 11.85 feet (Approx)
Therefore the distance from he ball to the goal is 11.85 feet (Approx) .
<u>Answer:</u>
x < 21.01 or x > 21.49 because |x - 21.25| > 0.24
<u>Step-by-step explanation:</u>
We know that each pack of almonds is targeted to weigh 21.25 oz.and a pack must weigh within 0.24 oz of the target weight to be accepted.
Assuming x to be the weight of a given pack of almonds, we can write it as:
Now finding the range of rejected masses (x) of the almonds.
or
or
Therefore, the correct answer option is x < 21.01 or x > 21.49 because |x - 21.25| > 0.24.