<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
To solve this problem you need to know the law of cosines.
Answer:
12.5
Step-by-step explanation:
0.5x25=12.5. FILLER
Answer:
<u>The correct answer is B. 36</u>
Step-by-step explanation:
1. Let's review the information given for answering the question correctly:
Data set given:
18
36
11
45
36
19
14
18
36
2. What is the mode for this data set?
Let's recall that the Statistical Mode is the number that is more frequently repeated in a group of numbers. If no number is repeated, then there is no mode for the list or set.
In this specific set, we can notice that 18 is repeated two times and 36 is repeated three times. Therefore, the mode for this set of ages of people riding a bus is 36.
<u>The correct answer is B. 36</u>
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
