The angle of elevation to a nearby tree from a point on the ground is measured to be
31°. How tall is the tree if the point on the ground is 62 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
37.3 ft
Step-by-step explanation:
tan A = opp/adj
tan 31° = x/62
x = 62 * tan 31°
x = 37.3 ft
The height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.
Let h denote the tree if the point on the ground is 62 feet from the tree.
The angle of elevation = 31°. Hence:
tan 31° = h/62
h = 62 × tan 31°
h = 37.25 ft
Thus, the height of the tree is 37.25 ft if the point on the ground is 62 feet from the tree.
Learn more about the right triangle here:
https://brainly.com/question/11899922
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Related Questions
12.
Find the value of x. If necessary, round to the nearest tenth.
A. 7.0 in.
B. 9.9 in.
C. 14.0 in.
D. 11.9 in.
Answers
Answer:
9.9 inches
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the length of the height
49 = 1/2 x*x
Multiply each side by 2
2*49 = x^2
98 = x^2
Take the square root of each side
sqrt(98) = sqrt(x^2)
9.899494937 =x
Rounding to the nearest tenth
9.9 =x
54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.
Answers
Answer:
Daylilies- $11, Ornamental grass- $7
Step-by-step explanation:
For this one, you want to convert this into simultaneous equations.
If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.
From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.
Dividing both sides by 4 isolates d, leaving d=$11.
We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.
From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.
**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!
All working out:
d- cost of one daylily o- cost of one bunch of ornamental grass
2d+3o=43 6d+3o=87
6d+3o=87
- - -
2d+3o=43
= = =
4d =44
÷4 ÷4
d =11
2d+3o=43
2×11+3o=43
22+3o=43
3o=21
o=7
What’s the answer????????????
Answers
Answer:33
Step-by-step explanation:
trust
If XYZ congruent to DEF the what corresponding angle is congruent to angle x (enter your answer using the angle letter only)
Answers
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
XYZ is congruent to DEF so:
X = D
Y = E
Z = F
what is 4.3347x10^4 in standard form?
Answers
Answer:
43347
Step-by-step explanation:
just move decimal to the right 4 times.
CAN SOMEONE HELP ME I HAVE LIKE LESS THAN 15 MINUTES TO FINISH
Answers
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
The product of two numbers is 1008 and their HCF is 12. The LCM of these numbers is (a) 75 (b) 78 (c) 84 (d) 96
Answers
Answer:
(c) 84
hope this helps!!!!
Which graph represents y-1 = 2(x - 2)?
Answers
Answer:
I only see 1 graph...
hksjfjf
Please someone help me if you can't that is okay but please try I am extremely desperate
Answers
Answer:
A
Step-by-step explanation:
2x + x = 3x
y - 3y = 2y
there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x
Answers
Answer:
Sum of the four numbers in terms of x would be 4x+4
Step-by-step explanation:
x-2 + x + x+2 + x+4 = sum
4x+4 = sum
Một xưởng dệt thảm được giao làm một số thảm trong 30 ngày. Thực tế xưởng dệt đã tăng năng xuất lên 25% nên sau 25ngay không những đã làm xong số thảm mà còn làm thêm được 20 chiếc nữa. Tính số lượng thảm mà xưởng đã dệt trong 25 ngày
Answers
Gọi số tấm thảm xưởng dệt dệt theo dự định là x ( tấm, x >0 )
⇒ số tấm thảm xưởng dệt dệt trong 1 ngày theo dự định x/30 (tấm)
xưởng dệt dệt đc số tấm thảm trong thực tế là x/20 (tấm)
⇒số tấm thảm xưởng dệt dệt trong 1 ngày thực tế là x+20/25 (tấm)
Vì năng suất tăng 25% nên số tấm thảm dệt được trong 1 ngày thực tế sẽ bằng 125% số tấm thảm dệt đc trong 1 ngày theo dự định nên ta có PT : x+20/25=125% * x/30
me lười làm khúc dưới quá nên tự xử nha.
Find a round to the nearest tenth a 150 12 10cm c a=?cm
Answers
Answer:
[tex]Using~ the ~ law~ of ~sinse:-[/tex][tex]\frac{a}{SinA} =\frac{b}{SinB}[/tex][tex]\frac{a}{Sin150}[/tex][tex]=\frac{b}{SinB}[/tex][tex]a=\frac{10~sin~150}{Sin~12}[/tex][tex]a=[24] ~cm[/tex]-----------------------hope it helps..have a great day!!Tanya has 130 ml of juice
Answers
Answer:
The answer is below
Step-by-step explanation:
A drink is made by adding water to juice.
Instructions
Add an amount of water that is between 3 times and 5 times the amount of juice
Tanya has 130 ml of juice.
If she follows the instructions, work out the minimum and maximum amounts
of the drink she can make.
Solution:
The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:
Minimum amount of water = 3 * 130 ml of juice = 390 ml of water
Therefore minimum amount of drink = 390 ml of water + 130 ml of juice
minimum amount of drink = 520 ml
The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:
Maximum amount of water = 5 * 130 ml of juice = 650 ml of water
Therefore maximum amount of drink = 650 ml of water + 130 ml of juice
Maximum amount of drink = 780 ml
Thực hiện phép nhân, rút gọn rồi tính giá trị của biểu thức :
a) x(x - y) + y(x + y)
tại x = -6 và y = 8;
b) x(x - y) = x^(x + y) + yx2 – x) tại x =
1
và y = -100,
2
Answers
Answer:
i do not understand what youre asking
Step-by-step explanation:
see^^^^^
Ms. Emily had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Emily put into each bowl?
Answers
Answer:
85.7 ounces.
Step-by-step explanation:
428.5/5 = 85.7
Therefore, Ms. Emily put 85.7 ounces of pretzels into each bowl.
Answer:
85.7 ounces
Step-by-step explanation:
428.5 ounces ÷ 5=85.7 ounces
A jeweler had a fixed amount of gold to make bracelets and necklaces. The
amount of gold in each bracelet is 6 grams and the amount of gold in each
necklace is 16 grams. The jeweler used 178 grams of gold and made 7 more
necklaces than bracelets. Write a system of equations that could be used to
determine the number of bracelets made and the number of necklaces made.
Define the variables that you use to write the system.
Answers
6b + 16n = 178 Weight of gold
n = b + 7 More necklaces than bracelets
Answer:
6b+16n=178
n=b+7
Step-by-step explanation:
Let b=the number of bracelets made
Let n=the number of necklaces made
System of Equations:
6b+16n=178
n=b+7
The diagram shows a door lock.
B
2
3
4
The code is a letter followed by a number.
Write down all the possible codes,
write your answers like this: (A, 1)
You must write all of your answers on one line.
Answers
NO LINK PLEASE. OR I WILL REPORT YOU.
Answers
Answer:
x = 80
Step-by-step explanation:
Both angles together form 180, therefore x is 80
Answer:
x = 80
Step-by-step explanation:
100 and x form a straight line so they add to 180
x+100 =180
Subtract 100 from each side
x = 180-100
x = 80
Expand. If necessary, combine like terms. (x+3)(x-3)=
Answers
Answer:
[tex] {x}^{2} - 9[/tex]
Step-by-step explanation:
[tex](x−3)(x+3)[/tex]
[tex]x(x+3)−3(x+3)[/tex]
[tex]x \times x+x \times 3−3x−3 \times 3[/tex]
[tex]x \times x−3 \times 3[/tex]
[tex] {x}^{2} - 9[/tex]
Hope it is helpful....The increases (in cents) in cigarette taxes for 6 states in a 11-month period are 70,12,42,45,50,51,60,69,8,40,18
Answers
Answer:
The range is 62
Step-by-step explanation:
Given
[tex]x:70,12,42,45,50,51,60,69,8,40,18[/tex]
Required
The range
This is calculated as:
[tex]Range = Highest - Least[/tex]
From the given data
[tex]Highest = 70[/tex]
[tex]Least=8[/tex]
So:
[tex]Range = Highest - Least[/tex]
[tex]Range = 70-8[/tex]
[tex]Range = 62[/tex]
Find csc 0, sin 0, and cot 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
PLZ HELP I BEEN STUCK FOR AN HOUR I WILL MARK BRAINLIEST!!!
Answers
Answers:
[tex]\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
=============================================
Explanation:
Before we can find the trig ratios, we need to determine the length of the missing side. Apply the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\4^2+b^2 = 7^2\\\\16+b^2 = 49\\\\b^2 = 49-16\\\\b^2 = 33\\\\b = \sqrt{33}[/tex]
The vertical side is [tex]\sqrt{33}[/tex] units long.
------------------------------------
The side we just found is the opposite side to angle [tex]\theta[/tex] (greek letter theta)
The hypotenuse is 7 units long. The hypotenuse is always opposite the right angle.
Divide the hypotenuse over opposite to get the cosecant.
[tex]\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{7}{\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33*33}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{\sqrt{33^2}}\\\\\csc(\theta) = \frac{7\sqrt{33}}{33}\\\\[/tex]
Note: In the third step, I multiplied top and bottom by sqrt(33) to rationalize the denominator.
------------------------------------
Recall that sine is the reciprocal of cosecant, and vice versa.
So we'll use the same idea as before, but flip the original fraction.
[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{\sqrt{33}}{7}\\\\[/tex]
The denominator is already a rational number, so there's not much else to do here.
--------------------------------------
Cotangent is the ratio of adjacent over opposite
[tex]\cot(\theta) = \frac{\text{adjacent}}{\text{opposite}}\\\\\cot(\theta) = \frac{4}{\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33}*\sqrt{33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33*33}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{\sqrt{33^2}}\\\\\cot(\theta) = \frac{4\sqrt{33}}{33}\\\\[/tex]
The steps are pretty much nearly identical as the section involving csc, except we're using the adjacent in place of the hypotenuse (so that means we use 4 in place of 7).
PLEASE HELP ME! this is due TONIGHT!! thank you so much
explaining your answer = brainliest/ five stars
the area of the parallelogram is ___ square feet
Answers
Answer:
Step-by-step explanation:
here,
base=28 ft
height=24 ft
are of parallelogram=base*height
=28*24
=672 ft^2
Answer:
672 ft²
Step-by-step explanation:
Area of parallelogram is the same as the area of a rectangle.
28 × 24 = 672 ft²
Given that cos(θ)= -√3/4 and tan(θ) > 0, find sin(θ)
Answers
Answer:
B. -√13/4
Step-by-step explanation:
cos 0 = -√3/4 => x=-√3 , h=4
tan 0 > 0
y should be on quadrant III
y= √4²-3= √16-3=√13 => -√13
so, sin 0 = y/h = -√13/4
Answer:
B. -√13/4
Step-by-step explanation:
:)
ctividad 1:
Las edades de un grupo de niños son: 5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Determina las Medidas de Centralización (Media, Mediana y Moda) y las medidas de Dispersión (Desviación media y Desviación estándar).
necesito ayuda
Answers
Respuesta:
Media = 6
Mediana = 6
Modo = 6
Desviación media = 1
Desviación estándar = 1.317
Explicación paso a paso:
Dados los datos:
5, 5, 8, 4, 6, 6, 7, 5, 6, 7, 4, 8, 6, 5, 6, 8
Datos reorganizados: 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 8, 8, 8
La media: Σx / n = 96/16 = 6
El modo, = 6 (valor más alto que ocurre en los datos, valor de datos con la frecuencia más alta)
La mediana = 1/2 (n + 1) ésimo término
Mediana = 1/2 (17) término = 8.5 th término = (6 + 6) / 2 = 6
La desviación media = Σ (x - media) / n
Usando la calculadora, la desviación media = 1
La desviación estándar = √ (Σ (x - media) ² / n-1)
Desviación estándar = 1.317
!!PLEASE HELP 25 POINTS!! The graph of an absolute Value
Answers
Answer:
(-1, 8)
the value of a is 8
[tex]\frac{1}{3}x^{2} +5x+\frac{4}{3}=2x-\frac{1}{3} x^{2}[/tex]
Answers
Just need some help please
Answers
Answer:
It is y = -4/5x - 2 because you go left 4 and down 5 which makes both negative. And of course it is minus two.
number 14 and 15 pls
Answers
Step-by-step explanation:
b= 140 ( alternate angle)
k = 130 ( veetically opposite angles)
may it help ub
What is the resulting ordered pair if the value of the independent variable is -1?
f(x)= -5x - 4x +2
A. (-1, 1)
B. (-1, 11)
C. (2,-6)
D. (1, -1)
Answers
Find MN. See image below.
Answers
Answer:
Step-by-step explanation:
Tangents from the point outside the circle are equal
NL = JL
NM + ML =JK + KL
2x - 7 + 9 = 8 + 10
2x + 2 = 18 {Subtract 2 from both sides}
2x = 18 - 2
2x = 16 {Divide both sides by 2}
x = 16/2
x = 8
MN = 2*8 - 7 = 16 - 7 = 9
MN = 9
