A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 33° from level ground to the kite string. If she used a full 90 yard spool of string, how high, in feet, was the kite? Round your answer to 3 decimal places. (Disregard the string sag and the height of the string reel above the ground.)

Answers

Answer 1

Answer:

Answer: height of kite is 147.042 feets

Step-by-step explanation:

The diagram of the kite is shown in the attached photo

Triangle ABC is formed and it is a right angle triangle.

The kite string made an angle of 33 degrees with the ground. The string used was 90 yards We will convert the 90 yards to feets.

I yard = 3 feets

90 yards would become

90×3 = 270 feets

This 270 feets form the hypotenuse of the triangle.

To determine the height of the kite h, we will use trigonometric ratio

Sin# = opposite / hypotenuse

Where

# = 33 degrees

Hypotenuse = 270 feets

Opposite = h feets

Sin 33 = h/270

h = 270sin33

h = 270 × 0.5446 = 147.042 feets

Related Questions

Judging on the basis of experience, a politician claims that 57% of voters in a certain area have voted for an independent candidate in past elections. Suppose you surveyed 25 randomly selected people in that area, and 18 of them reported having voted for an independent candidate. The null hypothesis is that the overall proportion of voters in the area that have voted for an independent candidate is 57%. What value of the test statistic should you report?
Suppose a stock is selling on a stock exchange for 6 3/4 dollars per share. If the price increases 3/4 per share, what is the new price of the stock? Leave your answer as a proper fraction or mixed number.
What is the determinant of? –18 –8 10 18
Can someone help me with this
What is the 7th term in the series? 15,35,55

Kendra sold 200 shares through her broker in June 8. The price per share was $22.10. The broker charged her a 0.5% commission on the total value. What was Kendra’s return on the trade?

Answers

Answer:

A. $4397.9

Step-by-step explanation:

We are given that Kendra sold 200 shares and that the price per share was $22.1

This means that:

Total value = 200 * 22.1 = $4420

Now, we know that the broker charged 0.5% commission on the total value

This means that:

Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1

Therefore,

Kendra's return = Total value - broker's charge

Kendra's return = 4420 - 22.1 = $4397.9

Hope this helps :)

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces.
A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces.

Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces.

Calculate the P-Value.

Answers

Answer:

P-value = 0.4324

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 8 ounces

Sample mean, $\bar{x}$ = 7.983 ounces

Sample size, n = 48

Population standard deviation, σ = 0.15 ounces

First, we design the null and the alternate hypothesis

$H_(0): \mu = 8\text{ ounces}\nH_A: \mu \neq 8\text{ ounces}$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }$

Putting all the values, we have

$z_(stat) = \displaystyle(7.983 - 8)/((0.15)/(√(48)) ) = -0.7851$

Now, we calculate the p-value with the help of standard normal z table.

P-value = 0.4324

which of the following could be the first step in solving the equation below?5^x=21a. 1/5×5^x=1/5×21b. log5^x=log21c. log5^x=21d. sqrt[5]{ {5}^{x} } = sqrt[5]{21}

Answers

ANSWER

$\log _{}5^x\text{ = log21}$

EXPLANATION

We want to find the very first step in solving the problem below:

$5^x\text{ = 21}$

If we wanted to jump steps, we could just state that the equation would become:

$\log _521\text{ = x}$

But that would be jumping a lot of steps and it is not among the options.

So, the very first step in solving this problem is to find the logarithm of both sides.

That is:

$\log 5^x\text{ = log21}$

That is the answer. (Option B)

Consider an optimization model with a number of resource constraints. Each indicates that the amount of the resource used cannot exceed the amount available. Why is the shadow price of such a resource constraint always zero when the amount used in the optimal solution is less than the amount available?

Answers

Shadow pricing refers to the practice of accounting the prince of securities not on their assigned market value (as might be expected) but by their amortized costs. This can also be considered an "artificial" price assigned to a non-priced asset or accounting entry.

In this optimization model, we find a number of resource constraints which limit the changes to the resources. It is expected that these resources would not exceed the amount allocated for each particular constraint. The shadow price of a resource constraint would be zero in this example because the amount used would be less than the amount available. This means that it can fit within the established parameters, and therefore, would not need to be assigned a shadow price.

write the equation of a line that is parallel to y = -7/5x + 6 and that passes through the point (2, -6)

Answers

Answer:

y = -7/5x - 6.7

Step-by-step

y = -7/5x + 6. A Line that is parallel will always have the same slope. The slope is m. m in this situation = -7/5x. A lines equation is y = mx + b. m = -7/5. y = -7/5x + b. Now to find b we can substitute the given point which goes through the new line, (2, -6). In this point x =2 and y = -6. Now substitute the x and y values into our equation. y = -7/5x + b is now -6 = -7/5(2) + b. -7/5(2) = -7/10. -6 = 7/10 + b. Subtract 7/10 from -6. Its -6 and 7/10 or -6.7 . -6.7 = b. b = -6.7. Now substitute the b value into the equation. y = -7/5x -6.7.

PLEASE PLEASE PLEASE HELP

Answers

Answer:344 i think if im wrong thats alright

Step-by-step explanation:

Other Questions

What is the measure angle of 3 ?The measure angle of 4?

A segment has endpoints A (-1, 1) and B (8, 4) .If the segment is divided into four equal parts, the coordinates of the point closest to point A are _____?

a patrolman gives a speeding ticket 15% over the posted speed the speed limit is 40 miles per hour a driver can go without receiving a ticket

What's the answer for p2 when p=25