To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)

To Find The Distance Across A River, A Forester Sets Up Stakes At A, B,C And D So Thatstakes D And B

Answers

Answer 1

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m


Related Questions

Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False

Answers

Answer:

True

Step-by-step explanation:

If corresponding angles are congruent, the lines are parallel

17.31 x____=173.1 decimal math

Answers

Answer:

10.

Step-by-step explanation:

In order to find the missing value, we need to divide 173.1, by 17.31:

173.1 / 17.31 = 10

Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1

Check:

17.31 · 10 = 173.1

173.1 / 10 = 17.31

please help with geometry problems

Answers

Answer:

put your  best gees

Step-by-step explanation:

Graph a line with a slope of -3/4 that contains the point (2,3).

Answers

Answer:

The graph will be on the bottom:

Step-by-step explanation:

First find the slope intercept form:

y=mx+b

m is slope

b is y-intercept

since we already have slope we can replace that with m

y=-3/4x+b

Now substitute x and y with 2 and 3

3=-3/4 (2)+b

3=-3/2+b

Add on both sides:

9/2=b

Thus the Slope-intercept form is

y=-3/4x+9/2

Hope this helps!

In the equation = + , what does b represent?

Answers

Answer:

Although the equation is incomplete (b doesn't appear), I'll venture a guess that the correct equation looks something like this:

y = 2x + b [or y = mx+b]

b is the y-intercept.

Step-by-step explanation:

In the format of y = 2x + b, b represents the y-intercept (the value of y when x = 0).  

What is 98,765 - 9,876?

Answers

Answer:

88889

Step-by-step explanation:

This is because you do stacked subtraction to get final answer

Answer:

88,889

Step-by-step explanation:

98,765 - 9,876 = 88,889

What is the probability of picking an 8 and then picking a number greater than 6?

Answers

What are you picking the numbers out of?? You can’t really solve it without knowing what all your outcomes could be

1. If the spinner below is spun once, find the
probability of a number less than 10

Answers

Answer:

5% chance

Step-by-step explanation:

Solve the inequality

4x - 19 ≥ -27

Answers

Answer:

x  ≥ -2

Step-by-step explanation:

Hope this helps!

PT. 4 OF MY HW! STILL UNIT RATE​

Answers

Answer: plant 1 grows at a faster rate

Step-by-step explanation:

Find the solution of this system of equations
-6x + 3y = -39
-6x - 3y = -21
Enter the correct answer.
DONE
OOO
Clear all
+?

Answers

Answer:

Undefined.

Step-by-step explanation:

If you try to cancel x or y, you'll cancel both, and won't be able to find the values of any of those variables.

The answer is UND (undefined) explanation in picture

A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?​

Answers

17 minutes

hope this helps!

what figure is a rotation of figure

Answers

Answer:

b

Step-by-step explanation:

what grade?

I need reassurance that my answer is right. Is this a rotation? :')

Answers

Answer:

Yes, it is a rotation!

Step-by-step explanation:

You know this because the shape rotated. It did not flip, change size, or remain the same.

I hope this helps!

what is 18 1/5 -7 3/5 as a mixed number in simplest form

Answers

Answer:

53/5

Step-by-step explanation:

I hope this helps u.

Mark me as brainliest.

what id the limit of this function? f(x)=2x4+5x3−2x+12

Answers

Your math problem

(==)=24=+53−2+12

f(x)=2x^{4}+5x^{3}-2x+12

Find solutions on the

Please Can you subtract the given problem from scientific notation to notation. Step by step please​

Answers

Answer:

367(3.67*100)-16(1.6*10)=351

Hope This Helps!!!

[tex]\\ \sf\longmapsto 3.67\times 10^2-1.6\times 10^1[/tex]

[tex]\\ \sf\longmapsto 3.67(100)-1.6(10)[/tex]

[tex]\\ \sf\longmapsto 367-16[/tex]

[tex]\\ \sf\longmapsto 351[/tex]

The area of the triangle below is 14.96 square inches.
What is the length of the base?

Answers

Answer:

base = 6.8 in

Step-by-step explanation:

area of triangle = 1/2 base height

where height = 4.4 in

              area = 14.96 in²

plugin values into the formula

14.96 = 1/2 base (4.4)

base = 14.96 (2)

               4.4

base = 6.8 in

Base of the triangle is 6.8 inches

GCF and LCM: word problems. Kiara is printing orange and green forms. She notices that 6 orange forms fit on a page, and 2 green forms fit on a page. If Kiara wants to print the exact same number of orange and green forms, what is the minimum number of each form that she could print? no links pls​

Answers

Answer:

6

Step-by-step explanation:

The LCM of 6 and 2 is 6.

what is the rectangular cross hatch chart used for eye test called

Answers

It’s called an Amsler chart hope this helps :)

The perimeter of a triangle is 42 centimeters. The longest side is 2 centimeters less than 3 times the shortest side and the pother side is 2 centimeters more than twice the shortest side. Find the length of each side.

Answers

Answer:

  7 cm, 16 cm, 19 cm

Step-by-step explanation:

Let s represent the length of the shortest side in cm. The longest side is 3s-2, and the other side is 2s+2. The perimeter is the sum of the side lengths.

  P = s + (3s -2) +(2s +2)

  42 = 6s . . . . . simplify, use the given value of perimeter

  7 = s . . . . . . . divide by 6

  2s+2 = 16

  3s -2 = 19

The side lengths are 7 cm, 16 cm, and 19 cm.

what is twenty-five hundred-thousandths in decimal form

Answers

Answer:

5.620

Step-by-step explanation:

I hope this helps you

Answer:

0.00025

Step-by-step explanation:

Here is a example

PLS HELP ASAP. QUESTION IN PICTURE

Answers

Answer: 50 degrees

Step-by-step explanation:

This is actually quite simple using the exterior angle theory

"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"

In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables

120=70+x

120-70=x

Angle x = 50 degrees

A sheet of cardboard is 1.6 m by 0.8 m. The following shapes are cut from the cardboard: ● a circular piece with radius 12 cm ● a rectangular piece 20 cm by 15 cm ● 2 triangular pieces with base 30 cm and height 10 cm. What is the area of the remaining piece of cardboard in m²? (Consider π = 22/7)

Answers

Answer:

1.17m²

Step-by-step explanation:

Total area of cardboard=

[tex]1.6 \times 0.8 = 1.28m {}^{2} [/tex]

Area of circular piece=

[tex]\pi \: r {}^{2} = ( \frac{22}{7} )(0.12) {}^{2} = \frac{198}{4375} m {}^{2} [/tex]

Area of rectangular piece=

[tex]0.2 \times 0.15 = 0.03m {}^{2} [/tex]

Area of 2 triangular pieces=

[tex]2( \frac{1}{2} \times 0.3 \times 0.1) = 0.03m {}^{2} [/tex]

Remaining area of the cardboard= Total area of cardboard - circular piece - 2 triangular pieces

[tex]1.28 - \frac{198}{4375} - 0.03 -0.03 = \frac{21083}{17500} =1.17m {}^{2} [/tex]

PLEASE HELP ASAP! I WILL GIVE BRAINLIEST JUST PLEASE HELP

Answers

Answer:

38cm squared

Step-by-step explanation:

Victoria is 30 years old. She has $700 in a checking account, $9000 in a savings account $16,000 in a retirement account, and owns a car worth $6000. What is the total value of her liquid assets?
A. $31,700
B. $9700
C. $15,700
D. $16,000​

Answers

Answer:

B

Step-by-step explanation:

Please mark as brainliest

Please help, I don’t understand this and I did this from a while ago but I’m still confused on how to do it now.

Answers

Answer:

A.) -3p +8

b.) (10/p) -3

3.)

a.) -3(5)+8= -7

b.) (10/5)-3= -1

Step-by-step explanation:

For A and B you just have to read it over and over until you understand what is happening. A tip is when it says "fewer than" then that number usually goes after the second part of the statement.

For 3 it is asking you to plug 5 in for the value of p and solve.

Hope this helps:) Have a good day!

50 POINTS PLEASE HELPP
For which of the following inequalities, is 4
part of the solution set? Select all that
apply.
I A. x > -5
I B. 2 > x
C. 3x + 4 >-8
O D. 5x < 2x - 3
E. -6 < 4 - 2x

Answers

Answer:

a

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

Replace the x with 4 and do the math

help me on these questions pls

Answers

Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees

Step-by-step explanation:

the mean of this data set: (5, 8, 1, 7, 4, 3, 2, 2)= 5

Answers

Step-by-step explanation:

4

Add all to get 32

Divide by the number of items which is 8

answer =4

Answer: No, the mean of the data set is 4

(5+ 8+ 1+ 7+ 4+ 3+ 2+ 2)/8

= 32/8

=4

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