<span>before answering this question, we should know the properties of angles and parallel lines. For example, two angles are called interior alternate angles, if each angle is created by the existence of two parallel lines and a an another line called transversal. As for our case, 3 and 5 are alternate angles, so meas 3 = meas 5. It verifies Z test when we look at the figure.</span>
<span>probability that a randomly selected person is on the swim team = 28/67
</span><span>probability as a percent rounded to the nearest tenth of a percent = 41.8%</span>
Answer: 19 feet
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Tan α = opposite side / adjacent side
Where α is the angle of depression of the dog, the opposite side (16) is Ted's eye level above the ground, and the adjacent side (x) is the distance between the dog and the barn door.
Replacing with the values given:
tan40 = 16/x
Solving for x
x =16/tan40
x= 19 ft
Feel free to ask for more if needed or if you did not understand something.
0.067 =67/100
0.3 =3/10
0.67 * 0.3 = 67/100 *3/10
(67*3) / (100*10)
=201/1000
=0.201