All categories

3 years ago

A flagpole is casting a 20 feet shadow. the flagpole measures 16 feet find the angle of elevation of the sun

Mathematics

1 answer:

Oksanka [162]3 years ago

5 0

Answer:

39°

Step-by-step explanation:

==>Given:

Shadow length = 20ft

Flag height = 16ft

==>Required:

Angle of elevation of sun (θ)

==>Solution:

To calculate the angle of elevation of the sun, recall the trigonometry formula SOHCAHTOA.

We are given adjacent side = 20ft, and opposite side = 16ft

Therefore, we would use TOA, which is:

tan θ = Opposite/Adjacent

tan θ = 16/20

tan θ = 0.8

θ = 38.6598083 ≈ 39°

Angle of elevation of the sun = 39°

You might be interested in

I need to know what m n and q are equal to

VMariaS [17]

I know m=2.25 and n=8.6 but I don't know about q.

3 0

3 years ago

Define the following propositions: .p: You drive over 65 miles per hour q You get a speeding ticket Translate the following Engl

sveticcg [70]

Answer:

a.p→¬q

b.¬p→¬q

c.q→¬p

Step-by-step explanation:

p:You drive over 65 miles per hour

¬p: You do not drive over 65 miles per hour

q:You get a speeding ticket

¬q:You do not get a speeding ticket

(a) You drive over 65 miles per hour, but you do not get a speeding ticket

the first sentence is p and because the consequence is the opposite of q then is no q

p→¬q

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket

The first sentence is the opposite of p (¬p), and the second sentence is the opposite of q

¬p→¬q

The first one is q, and the second one is the opposite of p so

q→¬p

5 0

3 years ago

11 –2 · 3 –4 · 6 2 =

Sav [38]

Answer: negative 243

11 - 2 x 3 - 4 x 62 =

11 - 6 - 4 x 62=

11 - 6 - 248=

5 - 248=

-243

4 0

3 years ago

Read 2 more answers

The average homicide rate for the cities and towns in a state is 10 per 100,000 population with a standard deviation of 2. If th

zlopas [31]

Answer:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the average homicide rate for the cities of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,2)$

Where $\mu=10$ and $\sigma=2$

We are interested on this probability

$P(X>8)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>8)=P(\frac{X-\mu}{\sigma}>\frac{8-\mu}{\sigma})=P(Z>\frac{8-10}{2})=P(Z>-1)$

And we can find this probability with the complement rule:

$P(Z>-1)=1-P(Z$

5 0

4 years ago

Which of the following values for x and y satisfy the following system of the equations?

weqwewe [10]

Answer:

The answer to your question is letter C

Step-by-step explanation:

Equations

x + 4y = 10

5x + 10y = 20

Process

1.- Substitute all the options in both equations and evaluate them

a) x = 3, y = 2 This option is incorrect

(3) + 4(2) = 10 3 + 8 = 10 11 ≠ 10

5(3) + 10(2) = 20 15 + 20 = 20 35 ≠ 20

b) x = 2, y = -3 This option is incorrect

(2) + 4(-3) = 10 2 -12 = 10 -10 ≠ 10

(2) + 10(-3) = 20 2 - 30 = 20 -28 ≠ 20

c) x = -2, y = 3 This is the right answer

(-2) + 4(3) = 10 -2 + 12 = 10 10 = 10

5(-2) + 10(3) = 20 -10 + 30 = 20 20 = 20

d) x = 3, y = -2 This option is incorrect

(3) + 4(-2) = 10 3 - 6 = 10 - 3 ≠ 10

5(3) + 10(-2) = 20 15 - 20 = 20 -10 ≠ 10

6 0

3 years ago

A flagpole is casting a 20 feet shadow. the flagpole measures 16 feet￼ find the angle of elevation of the sun￼

A flagpole is casting a 20 feet shadow. the flagpole measures 16 feet find the angle of elevation of the sun