Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.
Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:
Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:
The distance is:
The shuttle traveled 3.2 miles while Marion was watching.
More can be learned about the slope concept at brainly.com/question/18090623
Answer:
1: -7
2: -7
3:-7
4: 8
5: 8
6: 8
Step-by-step explanation:
for the first one, you do 6-1=5 and then times that by 2 and then simplify that to get -7. for the second one, you do 
which is 8+4=12, and divide 24 by that to get 2 and minus nine to get -7. for the 3rd one, you do 
+9 first (16+9)= 25, and subtract 39 from that to get 14, then do 4-5=-1 *2=-2, which gets you -7. for 4 , you do 81-25= 56 over 10+8-11=7 which gets you 8. for 5, you do 36-20=16 in parentheses first and then divide 48 by that to get 3 and subtract that to get 8. last, for 6, you do 22-14 to get you 8
Answer:
8
Step-by-step explanation:
When presented with a box plot, it is better to identify the 5 numbers that are important in the box plot.
5 number summary of the boxplot.
1) minimum number - 16
2) 1st quartile - 21
3) 2nd quartile or median - 26
4) 3rd quartile - 29
5) maximum number - 34
Range is the difference of the maximum value from the minimum value of the data set.
Interquartile range is the difference of the 3rd quartile from the 1st quartile.
Range: 34 - 16 = 18
IQR: 29 - 21 = 7
