At a certain time of day, the angle of elevation of the sun is 30°. A tree has a shadow that is 25 feet long. Find the height of the tree to the nearest foot.

QUESTION POSTED AT 10/10/2019 - 07:35 PM

Answered by answersmine AT 10/10/2019 - 07:35 PM

The is 750 Because 30
X25
750
You're welcome
Post your answer

Related questions

If a rectangle or prism has a volume of 432 in.³ and the height of the prism is 9 inches what are the dimensions of the base

You first do 432 divided by 9 which is 48. However, there could be multiple dimensions for the base because 48 is a composite number. One example could be 6 by 8

ANSWERED AT 17/10/2019 - 09:26 AM


QUESTION POSTED AT 17/10/2019 - 09:26 AM

Analyze the diagram below and complete the instructions that follow. / Find the surface area of the composite solid if the base is a regular hexagon. Round your answer to the nearest hundredth. A. 471.53 m2 B. 615.53 m2 C. 709.06 m2 D. 802.59 m2

According to the image:
the right hexagonal pyramid surface area is given by the following formula:

S = 3√3 / 2) a² + 3a √h²+3a²/4
a = the base edge
h = the height of the pyramid

looking at the image  a =6m,  h =21m - 7m= 14m

so the surface area is S = 3√3 / 2) 6² + 3*6√14²+3*6²/4 =93.53+ 14.93=108.46 m²

for the another one
the figure is a prism hexagonal
its surface area is 
SA= 6ah +3√3 a²
a= base edge, h =height
in our case a =6m and h = 7m
so SA= 6*6*7 + 3√3 * 6²= 252 + 187 = 439 m²

finally, the surface area of the complete image is 
ST= S + SA = 108.46 m² + 439 m² = 547.52 m²
it is so approximate
 to B. 615.53 m2
look at the image

ANSWERED AT 17/10/2019 - 09:24 AM


QUESTION POSTED AT 17/10/2019 - 09:24 AM

Find the other endpoint of a line segment with one endpoint at (-3, 5) and whose midpoint is (5, 2). (7, 2) (1, 7/2) (13, -1)

I feel that it would be (7,2) :)

ANSWERED AT 17/10/2019 - 09:22 AM


QUESTION POSTED AT 17/10/2019 - 09:22 AM

A statue creates a shadow that is 30 feet long. the angle of elevation of the sun is 50 degrees. How tall is the statue and how would i calculate that?

The answer:
first, the angle of elevation, the shadow and the statue form an right triangle.
so, we know that for computing tangent, we use the main formula:

Tan = opposite side / adjacent side
let x be the length of the statue, it is the opposite side
30 feet long is the adjacent side
therefore, 
tan50°= x /30, 1.19 * 30= x, and the x=35.75 feet

ANSWERED AT 17/10/2019 - 09:22 AM


QUESTION POSTED AT 17/10/2019 - 09:22 AM

Who much days are in a week

There are 7 days in one week 

ANSWERED AT 17/10/2019 - 09:21 AM


QUESTION POSTED AT 17/10/2019 - 09:21 AM

You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as:a. a fraction in simplest form b. a decimal c. a percent

There are total 12 letters. 3 from them are the letter A.
The probability that the drawn letter is A can be calculated:
P(A)=number of events "letter A occurs"/ number of possible events that may occur 
P(A)=3/12
a. as a fraction: 3/12=1/4
b. as a decimal: 0.25
c. as a percent: 25%

ANSWERED AT 17/10/2019 - 09:20 AM


QUESTION POSTED AT 17/10/2019 - 09:20 AM

A 20-foot ladder is leaning against a tree. The bottom of the ladder is 12 feet away from the bottom of the tree. Approximately how high up the tree does the top of the ladder reach?

We want to use the Pythagorean theorem to find the missing length of the right triangle described in the word problem.

The Pythagorean Theorem is a^2 + b^2 = c^2, where a and b are the side lengths of the right triangle, and c is the hypotenuse.
If we know the lengths of two sides of a triangle, we can always find the length of the third side using this formula.

We're given the lengths of one of the sides (12) and the hypotenuse (20). We plug these numbers into our equation and then solve for x.
(x represents the how high the ladder reaches)

x^2 + 12^2 = 20^2
x^2 + 144 = 400
x^2 + 144 - 144 + 400 - 144
x^2 = 256

Now, find the square root of each side of the parenthesis.

√x^2 = √256
x = 16.

The answer is 16.

If there's anything you don't understand, I would highly recommend going to the website Khan Academy and watch his videos regarding it, he explains things much better than I ever could.

Hope this helps!!

ANSWERED AT 17/10/2019 - 09:20 AM


QUESTION POSTED AT 17/10/2019 - 09:20 AM

Find the distance between these points. C(0, 4), T(-6, -3) √(37) √(85) √(109)

The distance between 2 points C and T with their coordinates given is as follows:

C(x₁ , y₁) and T(x₂ , y₂) OR C(0,4) and T(-6,-3)


CT=√[(x₂ - x₁)² + (y₂ - y₁)²] =√[(-6-0)² + (-3 - 4)²]


CT=√[(36) + (49)} = CT = √85 

ANSWERED AT 17/10/2019 - 09:19 AM


QUESTION POSTED AT 17/10/2019 - 09:19 AM

Find the distance between these points.W(-6, -8), X(6, 8) 20 10 √8

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
W&({{ -6}}\quad ,&{{ -8}})\quad 
%  (c,d)
X&({{ 6}}\quad ,&{{ 8}})
\end{array}\quad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
d=\sqrt{[6-(-6)]^2+[8-(-8)]^2}\implies d=\sqrt{(6+6)^2+(8+8)^2}

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

What is the simplified form of the cube root of x squared times the third root of x squared

Answer:

x\sqrt[3]{x}

Step-by-step explanation:

\sqrt[3]{x^2} *\sqrt[3]{x^2}

Both terms have same cube root so we multiply the terms and put it inside the cube root

Apply exponential property

a^m * a^n = a^{m+n}

x^2* x^2 = x^4

\sqrt[3]{x^2} *\sqrt[3]{x^2}=\sqrt[3]{x^4}

\sqrt[3]{x^4}=\sqrt[3]{x^3*x^1}=x\sqrt[3]{x}

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

The regular price of a hand-held CD player is $36.00. it is on sale for 25% off. What is the amount of the discount?

Divide 36 by 4 to find what one quarter, or 25% is. 36/4=9

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

Select the measures that are equal. Mark all that apply. A. 4 Feet. B. 12 Yards. C. 36 Feet. D. 480 Inches. E. 15 feet. F. 432 inches.

12 yards, 432 inches and 36 feet are all equal
12 yards = 36 feet
36 feet = 432 inches

ANSWERED AT 17/10/2019 - 09:15 AM


QUESTION POSTED AT 17/10/2019 - 09:15 AM

A ticket to the fair initially costs $10. The price is increased by 15%. Then, the price is decreased by 25% (from the already increased price). What is the final price of the ticket?

Increased price = $10 + $10×15% = $11.50

decreased price = $11.50 - $11.5×25% = 8.625

ANSWERED AT 17/10/2019 - 09:14 AM


QUESTION POSTED AT 17/10/2019 - 09:14 AM

What is the simplified form of the cube root of x squared times the third root of x squared

The cubic root of x, by itself, would simply be 1/3 x. but, when you have an exponent in the radicand as an unknown, it gets more complicated. first, you have to solve what is inside the radicand first, following order of operations. so, first you solve x squared. x is your unknown, so you would need to determine the value of x and then square it. after that, you cube your answer. if we place 2 as x, for an example, you would find 2 squared to be 4, then cube that for your answer.

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Chose ALL right answers 30 points one question

I believe your answer is 71 96 175

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Six times a number is greater than 20 more than that number. What are the possible values of that number?

The answer is x>4 I just did this one

ANSWERED AT 17/10/2019 - 09:13 AM


QUESTION POSTED AT 17/10/2019 - 09:13 AM

Find the lowest common denominator of 3/x^3y and 7/xy^4 A. x^3y^4 B. x^4y^5 C. y^4 D. x^2y^3

The answer I came up with is A)

ANSWERED AT 17/10/2019 - 09:11 AM


QUESTION POSTED AT 17/10/2019 - 09:11 AM

You usually buy a 16.5 -ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free. What is the best equation

Answer:

The best equation is y= 16.5+0.3x

Step-by-step explanation:

Given : The bottle contain 16.5-ounce bottle of shampoo

A new bottle gives 30% more free in it

i.e. original+30% of original = new

16.5+0.3(16.5)= 21.45 amount of shampoo is in new bottle

so the best equation to define the answer is y= 16.5+0.3x

where x=16.5


ANSWERED AT 17/10/2019 - 09:10 AM


QUESTION POSTED AT 17/10/2019 - 09:10 AM

For two weeks, Mark recorded the color of the traffic light at the intersection of Acorn Street and Fifth Avenue as his bus approached the intersection. He created this frequency table. How many times was the traffic light red? Red: ? Green: 6 Yellow: 2 Total: 15

Hey there!

If the total amount of times Mark recorded the color of the traffic light is 15, then the number of red lights he recorded would be 15 minus the amount of green and yellow lights. 

15 – 6 – 2 = 7

There was a total of 7 red lights recorded by Mark. 

Hope this helped you out! :-)

ANSWERED AT 17/10/2019 - 09:09 AM


QUESTION POSTED AT 17/10/2019 - 09:09 AM

What is 321 times 221. Please show me the work vertical

      321
  x  221
    --------
      321
  16420
+64200
  ---------
  70941

ANSWERED AT 17/10/2019 - 09:08 AM


QUESTION POSTED AT 17/10/2019 - 09:08 AM

I need to know #25. What is p? Hurry please

Hey there!

In order to solve this problem, you'll want to combine like terms. You can do this by cancelling out terms in your equation and combining them with the similar terms (for example, numbers with no unknown term can be combined, numbers with the same unknown term can be combined, etc.)

To cancel out terms, you will add or subtract (and eventually multiply or divide) to get the term on one side to zero. You will then complete what you just did to cancel out the term on the other side. See below:

–7 – 7p = 3p + 23
+ 7                  + 7

–7p = 3p + 30
+7p  +7p

10p + 30

10p + 30 will be your simplified equation. There's no wrong way to combine like terms, just be careful to double check whether you should add or subtract. 

After that, all you need to do is solve for the term p. After you get rid of all of the terms on one side, that side will be equal to zero. So, you just need to find the number that will make your equation equal zero. 

10p + 30 = 0
       –30    –30

10p/10 = –30/10

p = –3

Hope this helped you out! :-)

ANSWERED AT 17/10/2019 - 09:08 AM


QUESTION POSTED AT 17/10/2019 - 09:08 AM

What is 321 times 221 . Please show me the work

321 x 221 = 70941

hope this helps


00321
00221
----------
70941

ANSWERED AT 17/10/2019 - 09:07 AM


QUESTION POSTED AT 17/10/2019 - 09:07 AM

Please find the volume of each figure . Please show and explain all work or you will be reported do all and not some . 40) A 5m×3m×4m rectangular prism 41) A cube with edge of 6 ft 42) A cylinder with a height of 14 cm and base Diameter of 10 cm 43) A triangular prism with a base area of 15 square inches and height of 12 inches . 44) A cylinder with a base circumference of 8pi and height 7 45) A box has a volume of 24 ft^3 and base of 2 ft by 3 ft, what is the height ?

Volume formulas:
rectangle prism: l×w×h
cube: s^3
cylinder:(pi)r^2×h
triangle prism: (a×b/2)×h
cylinder:(pi)r^2×h
box:l×w×h

40) 5m×3m×4m =15m×4m= 60m^3

41) 6 ft × 6 ft ×6 ft = 36 ft × 6 ft = 216 ft^3

42) d=2r 10/2=5 r=5
3.14×5^2×14=78.5×14= 1099cm^3


43) 15=a×b/2 (area of trianlge)
15×12= 180in^3

44) c=2 (pi)r 8pi=2r (pi)
r=4
3.14×4^2×7=50.24×7=351.68

45) 24 ft^3 =2 ft × 3 ft × height
24=6×h
÷6 both sides
h=4ft

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

Freddie is at chess practice waiting on his opponent's next move. He notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle. Part 1: How many radians does the minute hand move from 3:35 to 3:55? (Hint: Find the number of degrees per minute first.) Part 2: How far does the tip of the minute hand travel during that time?

Part1

there are 360° in a circle (clock), and thus if we check how many degrees in a clock with 60minutes, then it'd be 360/60, or 6° per minute

now, the clock went from 3:35 to 3:55, 20 minutes, how many degree is that? 6*20

part2

\bf \textit{length of an arc}\\\\
s=\cfrac{r\theta\pi }{180}\qquad 
\begin{cases}
r=radius\\
\theta=\textit{angle in degrees}\\
----------\\
r=4\\
\theta=6\cdot 20
\end{cases}\implies s=\cfrac{4\cdot 6\cdot 20\cdot \pi }{180}

ANSWERED AT 17/10/2019 - 09:06 AM


QUESTION POSTED AT 17/10/2019 - 09:06 AM

A 12 ​-foot piece of string is cut into two pieces so that the longer piece is 3 feet longer than twice the shorter piece. If the shorter piece is x feet​ long, find the lengths of both pieces.

The shorter piece would be 3 feet long and the longer piece would be 9 feet long.

ANSWERED AT 17/10/2019 - 09:04 AM


QUESTION POSTED AT 17/10/2019 - 09:04 AM

Can someone help me find the area of the shaded region? is it just the area of the circle?

The shaded region is the area of the circle minus the area
of the pentagon.
A circle = pi * r^2
A circle = pi * 15^2
A circle = 706.5 cm^2

A regular pentagon = (a * p)/2 where a is the apothem, p is the perimeter.
The apothem id the perpendicular height from the midpoint of a side to the center of the pentagon.
To find the apothem you have to use a trig ratio.
A pent = (8.3 * 12*5)/2
A pent = 249 cm^2

Shaded region: circle - pentagon 706.5 - 249 = 457.5

ANSWERED AT 17/10/2019 - 09:04 AM


QUESTION POSTED AT 17/10/2019 - 09:04 AM