An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on the other side of the river and suddenly has an idea.
Describe how she will sketch her idea to be able to determine the distance. Make a sketch and support you figure by number use meter as unit.
Answers
Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{x}{d}[/tex]
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;
d = [tex]\frac{10}{0.5774}[/tex]
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Related Questions
Hi! Please explain how you got your answer thanks! :))
Answers
Answer:
a + b = 780
Step-by-step explanation:
If we subtract the two equations we can ”eliminate“ a and b and find the value of z.
a-a = 0
b-b = 0
-10z = -700
z = 70
now we have to subistitute this value in the two equations
a + b -4(70) = 500
a + b + 6(70) = 1200
a+b - 280 = 500
a + b + 420 = 1200
If we simplify we have
a + b = 780
a + b = 780
Allison was left an inheritance from her great aunt on her 12 birthday. However, she , she not able to touch it until she is 21 years old. She inherited $$50,000 that was put into an account with 2% interest
Answers
Answer:
18% intrest
Step-by-step explanation:
The temperature at 6:00 P.M. in Frostfrozen, Antarctica was "37 °C.
If the temperature dropped 8.1 °during the next hour, what
was the temperature at 7:00 P.M.?
Answers
Answer:
37.0 Your answer is 28.9 Celsius
- 8.1
---------
28.9
Step-by-step explanation:
Fahrenheit:
90.5 Fahrenheit
Celsius:
23.7
Solve. Show all of your work.
1. A construction worker was preparing wood for a project.
He had 1/4 of a meter of wood that he needed to cut
into equal size pieces. If he cut the wood into 6 pieces,
how long will each piece be?
Answers
Answer:
4.17 cm
Step-by-step explanation:
I took 1m=100cm
Then divided the cm by 4 to get the 1/4 of a meter which is 25
25/6 is 4.16repeating so I rounded it up to 4.17.
If your teacher wants it in a fraction I would state it as 25/6 cm
Pls help I don’t get
Answers
Answer:
Answer attached
Step-by-step explanation:
What is the axis of symmetry of the parabola? 12(x+3)= (y–2)2a)
Answers
Answer:
a (y - 2)/6-3 is the answer
hope this helped
how to solve : y=300-5(24)
Answers
Answer:
Well just Follow orders of operations and you should find the value of “y”
Y=300-(24)5
-5*24= -120
300-120
180
y=180
The answer is y=180
Answer:
y = 180
Step-by-step explanation:
y = 300 - 5 (24)
*remember order of operations using PEMDAS: (parenthesis > exponents > multiplication/division > addition/subtraction)
solve parenthesis first:
y = 300 - 120
then subtract:
y = 180
find five rational number between 1 /7 and 2 /7
Answers
Answer:
Step-by-step explanation:
Solution.
Multiply and divide both number by 10,
we get
10/70,20/70
Rational Numbers in between these two are11/70,13/70
Step-by-step explanation:
Multiply any number / same number with both....
1/7×8=8/56
2/7×8=16/56
Now,
9/56,10/56,11/56,12/56,13/56.....
hope it helps
What is the relationship between the side lengths of the white square and the side lengths of the triangles?
es -)
A)
Each side of the white square is congruent to shorter leg of a triangle.
B)
Each side of the white square is congruent to the longer leg of a triangle.
Each side of the white square is the hypotenuse of a triangle.
D)
Each side of the white square is congruent to both legs of the triangles.
Answers
Answer:
C) Each side of the white square is the hypotenuse of a triangle.
Step-by-step explanation:
It can be observed in the diagram that the sides of the white square forms part of the sides of the triangles. Since the triangles formed are right angled, then the longest side of the triangle is the sides of the white square.
Therefore it can be inferred that, each side of the white square is the hypotenuse of a triangle. thus the correct choice of answer is C.
PLZZZ HELP!!! ILL GIVE BRAILIEST TO WHOEVER ANSWERS FIRST CORRECTLY!!
An amusement park charges $4.25 for admission, plus $1.50 for each ride ticket. Chase has $30 to spend on admission and ride tickets. What is the greatest number of ride tickets Chase can buy?
Answers
Answer:
17 tickets
Step-by-step explanation:
12. Determine the missing angle measures.
M<1
M<3
Answers
Answer:
3 is 15 degrees and 1 is 67 degrees
A student wrote the expression -3(8 - 10) as - 24 + 30. Which property did the student use?
Answers
Can somebody plz help answer the number 10’s questions using the diagram from the bottom left side (only if u know how to do this) thx sm! :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD!
Answers
Answer:
10a: △ABC is an Equilateral triangle with all acute angles.
10b: △BCD is A scalene triangle with all acute angles.
10c: △BDE is An Isosceles triangle with one obtuse angle.
Step-by-step explanation:
10) Looking at the diagram at the bottom left;
- △ABC has 3 equal internal angles and as such, it means it will have 3 equal angles.
Thus, we can classify it as; Equilateral triangle with all acute angles.
- △BCD has 3 unequal angles. Thus, it's 3 sides are not equal. Also all the angles are less than 90°.
We can classify it as;
A scalene triangle with all acute angles
- △BDE has 2 equal angles and one angle greater than 90°. This means it has 2 equal sides.
Thus, we can classify it as;
- An Isosceles triangle with one obtuse angle.
The function f(x)=5x5−3x3+1 is/has
Answers
Answer:
15
Step-by-step explanation:
PEMDAS
so do multiplication first
25-9+1
then do addition
25-10
then do subtraction
so
15
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! waaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answers
Answer:
I believe it would be - (n+4) x 2
Step-by-step explanation:
Answer:
2(n + 4)
Step-by-step explanation:
we take her number, n, and add 4
= n + 4
Then we double that. So that can either be 2n + 2(4) = 2n + 8, or 2(n + 4) which tells you to multiply everything in the parentheses by 2.
Please let me know if you have questions.
Please help. Will mark brainliest!!!
Five friends went to an amusement park. The cost of admission per person is x dollars. Three friends paid $30 each for a front-of-line pass. The group had a $20 coupon off the total price. Circle all of the expressions that represent the total cost.
5x + 30 – 20.
3(30) + 2x – 20.
5(x + 30) – 20.
5x + 70
2x + 70.
3(x + 30) + 2x – 20.
3(x + 30 – 20) + 2x.
5x + 10
3(x + 10) + 2x.
3x + 30 + 2x – 20.
3x + 90 + 2x – 20
5x + 30
Answers
Jada uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 4 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:Amount of blue paints used to paint bedroom walls=1.48 pints
Step-by-step explanation:
total pints of white paint and blue paint = 7.4 pints
Amount of white paint=4/ 5 x 7.4 pints=5.92pints
Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used
= 7.4 pints-5.92pints
=1.48pints
What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
Answers
Answer:
3
Step-by-step explanation:
We can find the slope of the given line in this two way:
1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3
2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x
3y = -x-15
y = -1/3x - 5
Also in this case we have -1/3
Two perpendicular lines have the the product of the their slope that is -1
So the slope that we are finding is 3
In fact = 3 x -1/3 = -1
The expression (x^ 12)(x^25)^2 is equivalent to X^p. What is the value of p?
Answers
Answer:
p = 62
Step-by-step explanation:
(x^25)^2 = x^(25*2) = x^50. Then we have:
(x^12)(x^50) = x^(12 + 50) = x^62
Therefore, p = 62
Help pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
5x + 4 ≤ 15
Step-by-step explanation:
Since he has only $15, he cannot surpass this amount, BUT the items he purchase CAN equal the same amount so it'd look like this ≤ 15
$4 of jelly beans is a constant
$5 per pound is a variable : 5x
5x + 4 ≤ 15
Which function below has the following domain and range?
Domain: {-9,-5,2,6,10}
Range: {-2,0,8}
A: {(-2,-5),(8,10),(0,6),(-2,-9),(0,2)}
B: {(-9,-2),(-5,0),(2,8),(6,5),(10,9)}
C: {(-9,10),(-2,8)}
D: {(2,0),(-5,-2),(10,8),(6,0),(-9,-2)}
Answers
Answer:
D is the right answer because it has all the elements of domain and range
Can anyone help me pls? Ur a legend if u can!
At a middle school 82 students have freckles. There are 352 students at the school. To the nearest tenth of a percent what percent of students have freckles?
Answers
Answer:
23.3%
Step-by-step explanation:
divide
82/352
.2329
aka
23.29%
round
23.3%
A rope that is 11 feet and 11 inches long is cut into three strips in a ratio of 2:4:5. How long is the longest piece
Answers
Answer: 65 inches
Step-by-step explanation:
11ft and 11inches/11 is 13 so the longest is 65 inches
Help I don’t know the steps
Answers
Answer:
down below
Step-by-step explanation:
straight lines are 180 degrees and you have 2 angles on a line. one of which is 72 and the other is unknown. It is solved for below.
[tex]180=72+x\\180-72=72+x-72\\108=x[/tex]
your missing degree is 108.
i may not be right, if i'm not i am very sorry.
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
p=9
Step-by-step explanation:
isolate the variable by dividing each side by factors that don’t contain the variable
True or False. A suitcase has a price of $83. With sales tax, it will cost $87.98. The sales tax percentage is 60%.
Answers
Answer:
The answer is false
Step-by-step explanation:
$83 + 60% = $132.8
A board game has a spinner with four different options of how a player can move: move forward 1 space, move forward 2 spaces, move
backward 1 space, or lose a turn. The probabilities of spinning each option are shown below. A. What is the probability of a player moving forward on his or her turn?
B. What is the probability of a player either moving backwards or losing a turn.
Answers
The answers are:
A. 7/12
B. 5/12
If you are using a calculator to find the measure of an angle in degrees, what type of measure might make you question whether your calculator is in radian mode? Explain.
Answers
Answer:
you would do this measure hope this helps
Step-by-step explanation:
all about dividing rational number, please help!
Answers
Answer: multiple the fractions
Step-by-step explanation:
1, 43/8 ÷3/2 when we write it as multiplication it is going to be 43/8*2/3
and the solution is
=86/24
simplify it
the result is
=43/12
2, 32/3÷4/3
then 32/3*3/4
=8
3, 51/4÷5/2
then 51/4*2/5
=51/10
Calculate the sum
32+(-40)
Answers
Answer: A: -8
How I know I use this app called Cymath.