1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gogolik [260]
1 year ago
9

A straight road makes an angle of 15 degrees with the horizontal. When the angle of elevation of the sun is 57 degrees, a vertic

al pole at the side of the road casts a shadow 75 feet long directly down the road, as shown in the figure. Approximate the length of the pole. Round to the nearest hundredth.

Mathematics
1 answer:
Vilka [71]1 year ago
7 0

The length of the pole is 19.15 feet.

<h3>What is the angle of elevation?</h3>

The angle of elevation is the angle created when an observer looks at an object placed above its height in relation to the eye level or the horizontal line. An angle of elevation is, for example, the angle created between the line of sight and the horizontal line when a man on Earth observes the Sun.

Given:

Angle made by straight road = 15°

Angle of elevation of the sun = 57°

Length of the shadow = 75 feet

∠ACB = 90° - 57° = 33°

∠CAB = 57° - 15° = 42°

Using Sine Law to find BC i.e.length of the pole.

\frac{BC}{sin A} = \frac{AB}{sin C}

\frac{BC}{sin 42} = \frac{75}{sin 33}

BC= \frac{75sin 42}{sin 33}

BC ≅ 19.15 feet (to the nearest hundredth.)

Hence, the approximate length of the pole is 19.15 feet.

To know more about angle of elevation visit:

brainly.com/question/16716174

#SPJ10

You might be interested in
An engineer commutes daily from her suburban home to her midtown office. The average time for a one-way trip is 36 minutes, with
Ivanshal [37]

Answer:

57.93% probability that a trip will take at least 35 minutes.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 36, \sigma = 4.9

What is the probability that a trip will take at least 35 minutes

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 36}{4.9}

Z = -0.2

Z = -0.2 has a pvalue of 0.4207

1 - 0.4207 = 0.5793

57.93% probability that a trip will take at least 35 minutes.

3 0
3 years ago
Hey everyone! I was just browsing around on google, and found this is the hardest question ever...
LenaWriter [7]

Answer: Yes my bestfriend

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The right cylinder in the diagram has a volume of 450 cm3. The other cylinder has a slant length of 10 cm, but the same base are
mezya [45]
A tilted or slanted cylinder has the same volume as its equivalent right cylinder, provided that
(a) the two bases of the tilted cylinder are parallel,
(b)  the base areas of the tilted and right cylinders are equal,
(c) the vertical height of the right and tilted cylinders are equal.

This fact can be verified by slicing the tilted cylinder into thin, flat washers, as in integral calculus.

Because all 3 conditions are satisfied, the volume of the tilted cylinder is 450 cm³.

Answer: 430 cm³
5 0
3 years ago
#4 Find angles 1, 2, 3 A SO 13 2 A) 90, 40, 50 B) 90, 50, 40 C) 90, 50, 90 D) 90, 40, 90​ ​
maksim [4K]

Answer:

HI UR CUTE

Step-by-step explanation:

I JUST FARTED

5 0
2 years ago
he amount of corn chips dispensed into a 12​-ounce bag by the dispensing machine has been identified as possessing a normal dist
const2013 [10]

Answer:

The probability will be 0.3085 or 0

Step-by-step explanation:

Given:

True mean=12.5

Sample mean =12.6

Standard deviation=0.2

Samples=100

To Find:

Probability that exceeds 12.6 ounces.

Solution:

Calculate the Z-score for given means and standard deviation.

So

Z-score= (true mean -sample mean)/standard deviation.

Z-score=(12.5 -12.6)/0.2

=-0.1/0.2

=-0.5

Now Using Z-table

P(X≥-0.5)=p(Z≥-0.5)=0.3085

Hence Probability that sample mean weight exceeds will be  0.3085

                 OR

By using Normal distribution with sampling ,it will be as follows

Z=(X-u)/[Standard deviation/Sqrt(No of samples)]

Z=(12.6-12.5)/(0.2/Sqrt(100)

Z=0.1/0.2/10

Z=5

So P(X≥12.6  )=P(Z≥5)=1

Pr(Z≥5)=1-1=0.

(Refer the attachment )

Hence Probability of getting ounces greater than 12.6 is '0'.

The sampling is of 0.02 size hence graphically it looks likely.

as shown in attachment.

3 0
2 years ago
Other questions:
  • Perform the indicated operation.(3/a+2) + (4/a-5)
    10·1 answer
  • ABIGAIL ORDERS A LARGE 2 TOPPING PIZZA FOR $14 AND A MEDIUM 1 TOPPING PIZZA FOR $10. IF ALL COST OF A MEDIUM PIZZA ARE 80% OF A
    6·1 answer
  • Mark and Don are planning to sell each other their marble collections at a garage sale. If Don has 1 more than 3 times the numbe
    10·1 answer
  • What is 4/7 times 2/3
    15·1 answer
  • Two sides of a trapezoidal are 25 meters. The third side is 40 meters. The fourth side is 20 meters shorter than the longest sid
    14·1 answer
  • Which logarithmic equation is equivalent to 8^2=64
    15·2 answers
  • Kayden was offered a job that paid a salary of $39, 500 in its first year. The salary
    12·1 answer
  • She buys 12 bottles of tomato juice bottle contains three-quarter cups of juice
    9·1 answer
  • What is 60,000,000,000+800.000,000,000=?
    8·2 answers
  • Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!