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Serggg [28]
3 years ago
13

If a tree is a height of 37 feet and it's shadow is a length of 28 feet on the ground find the angle of elevation the top of the

shadow makes with the top of the tree in degrees

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

Answer:

52.88 degrees

Step-by-step explanation:

To find the angle of elevation, we just need to use the tangent relation of the angle, as this relation is expressed as the division of the opposite side (that is, the height of the tree) by the adjacent side (that is, the length of the shadow), so we have that:

tangent(angle) = 37/28 = 1.3214

angle = arc tangent (1.3214) = 52.88 degrees

Advocard [28]3 years ago
7 0

Answer:

52.9°

Step-by-step explanation:

Please refer to the attached image for explanations

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Is 4 to 7 the same as 7 to 4? Explain why or why not
Pavlova-9 [17]
Yes

Step-by-step explanation:
4×7=28
and 7×4 also equal to 28
8 0
3 years ago
A ship leaves port at​ 1:00 pm and travels Upper N 70 degrees Upper WN70°W at the rate of 10 mph. Another ship leaves the same p
Leni [432]

Answer:

30.4 miles

Step-by-step explanations:

Please refer to the attached image for explanations

7 0
3 years ago
In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
Which equation has a solution of x = 2? Choose ALL that apply.
7nadin3 [17]

Answer:ibbhbh

Step-by-step explanation:

iiii

4 0
2 years ago
There are 87 first graders in after care.after 39 students are picked up, the teacher put the remaining students into 4 groups f
Elden [556K]

Answer:

There are 12 students in each group

Step-by-step explanation:

87-39= 48

48/4= 12

Hope this helped. ;)

5 0
3 years ago
Read 2 more answers
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