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3 years ago

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A utility pole is 35 ft tall. The pole creates a 50 ft. shadow. What is the angle of elevation of the sun? Round your answer to

the nearest degree. Show your work.

1 answer:

Ilya [14]3 years ago

6 0

We can get the angle with
tan a= opposite side / adjacent side = 35ft/ 50ft=0.7, so a = arctan(0.7)=35°
look at the image

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Quick and easy math questions

maw [93]

Answer:

32/68

Step-by-step explanation:

32+36 = 68

therefore the answer is

32 upon the whole total 68

32/68

hope this helps

pls mark brainliest!

4 0

3 years ago

Read 2 more answers

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

Simplify -2√-45 please

algol [13]

Answer:

l-4l+l-3l??

Step-by-step explanation:

8 0

3 years ago

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Tanji spends $8 on ride tickets ($1 each) and gives an equal number of tickets to 8 friends. How many tickets does each friend g

pshichka [43]

Because each ticket costs 1 and she spends 8 she would be buying 8 tickets

She has 8 friends so each one would get 1 ticket

The answer is 1

8 0

3 years ago

Read 2 more answers

6) John purchased 120 shares of Walmart stock at $58.02 each. He sold the stock for $120.98.

antiseptic1488 [7]

Answer:

John lost $6841.42.

Step-by-step explanation:

Let's find out how much John paid for the stock he bought. Each share cost $58.02. He bought 120 shares. Multiply the price by the number of shares.

58.02 x 120 = 6962.40

He sold the stock for $120.98 -- a huge loss! (We are not told that the $120.98 is the selling price of one share, so I'm assuming that's what John sold all his shares for.)

Find the difference to see what his loss was.

$6962.40 - $120.98 = $6841.42 LOST!

8 0

3 years ago