A bird (B) is spotted flying 900 feet from an observer. The observer (O) also spots the top of a tower (T) at a height of 200 feet. What is the angle of depression from the bird (B) to the observer (O)?
Right triangle OTB is shown. Side OT is labeled 200 and side BO is labeled 900. The angle B is labeled x degrees.
12.52°
12.84°
77.16°
83.69°
Answers
Answer:
X = 12.84°
Step-by-step explanation:
Here, we want to find the measure of the angle labeled x
To do this, we use the appropriate trigonometric identity
From the diagram, we have it that the side 200 which the angle x faces is the opposite, the other side of 900 is the hypotenuse which is the longest side and the side that faces the right angle
The trigonometric identity that relates opposite to the hypotenuse is the sine
Thus;
sin x = 200/900
sin x = 2/9
sin x = 0.222
x = arc•sin (0.222)
x = 12.84 degrees
Answer:
it is 12.84 =)
Related Questions
The depth, d , of a lake is 57 m, rounded to the nearest integer. Write the error interval for d in the form a ≤ d < b .
Answers
Given:
The depth, d , of a lake is 57 m, rounded to the nearest integer.
To find:
The error interval for d in the form a ≤ d < b.
Solution:
The depth, d , of a lake is 57 m, rounded to the nearest integer.
If the depths of the lake is 56.5m or greater than this up to 57 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.
[tex]56.5\leq d\leq 57[/tex] ...(i)
If the depths of the lake is 57m or greater than this up to 57.5 m but not 57.5 m, then the depth, d , of a lake is 57 m, rounded to the nearest integer.
[tex]57\leq d<57.5[/tex] ...(ii)
Using (i) and (ii), we get
[tex]56.5\leq d<57.5[/tex]
Therefore, the error interval for d is [tex]56.5\leq d<57.5[/tex].
A rectangle or field is 62 m long and 48 m wide Diana estimate the length of the field to be 60 m and the ways to be 45 m what is the percent error of Dianas estimated area measurement round your answer to the nearest whole percent
Answers
Answer:
To make estimates, we usually round the numbers the nearest integer.
Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.
Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.
Now, to estimate the area of the farm, we are going to multiply our two integers:
Estimated Area of the Farm= x
Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10
Step-by-step explanation:
Determine whether the relation (7,4), (5.-1), (3, -8), (1, -5), (3,6) is a function. Explain.
Answers
Answer:
No it is not a function
Step-by-step explanation:
it is not because of the sets of data (3,-8) and (3,6). as you can see the x values are the same( 3 is the x value in each set) and the y vaues (-8 and 6) are different.
A garment is on sale for 25% off the regular price. If the discounted price is $57, then what is the original
price?
Show work please!
Answers
Answer:
$71.25
Step-by-step explanation:
57 increase 25% =
57 × (1 + 25%) = 57 × (1 + 0.25) = 71.25
PLEASE HELP!! ILL MARK BRAINLIEST!
click picture above, thank you
Answers
Answer:
D 12
Step-by-step explanation:
Answer:
D. 12 cm
Step-by-step explanation:
Because the sum of two sides of a triangle must always be greater than the 3rd side, 12 cannot be the third side because 5+7=12.
help pls answerrrrff on math
Answers
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 2, and the given zeros. -4,0,2,4
Answers
Answer:
A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;
f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x
Step-by-step explanation:
The given parameters of the polynomial are;
The leading coefficient of the polynomial = 2
The zeros of the polynomial = -4, 0, 2, 4
We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)
For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'
To have a leading coefficient of 2, we can add '2' as a factor of the polynomial
Therefore, we can have the factors of the polynomial as follows;
(x² - 4²)·2·x×(x - 2) = 0
From the above equation, using a graphing calculator, we get the following possible polynomial;
(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0
Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.
graph
f(x) = (x - 1) (x + 4)?
Answers
Answer:
graph
Step-by-step explanation:
graph shown
intersected large curve
Two points in the (x, y) plane are a distance of 5 units apart. After a certain transformation is applied to both points, the two new points are 10 units apart. What was the transformation?
Answers
Answer:
translation
Step-by-step explanation:
Based on the information provided the type of transformation would have been a translation of one or both points. This means that either one or both points were moved. If only one point was moved it would have moved 5 units. If both were moved equally then they would have moved 2.5 units apart. Since we are not told the initial and end values of each point we cannot tell if the translation was a vertical or horizontal translation.
Simplify: (-7x° +7x°)+(-9x° +9+3x)
Answers
Answer:
-2x^3 - 4x^2 + 9
Step-by-step explanation:
You have to solve the equations in the parenthesis first then you just add the 9 to the end because it doesn't correspond with the rest of the variables "x"
EASY QUESTION AND I WILL GIVE BRAINILEST IF CORRECT
If n is at least 6, which inequality best represents the values of n?
n ≥ 6
n > 6
n < 6
n ≤ 6
Answers
Answer:
the first one i think not 100%
Step-by-step explanation:
im like 99% sure really sorry if i get it wrong
Answer:
its the first one
Step-by-step explanation:
the word atleast means that it can be ghat value or any thing higher therefore n will have to be equal to or greater than 6
Tara and Veronica are in charge of making a banner for the volleyball game this Saturday. How much poster paper will they need for a parallelogram-shaped banner with height 3 12 feet and base 6 14 feet( i need help plz quick helpppppppp smart peeps ill give you (1-0000000000000000000000000) dollers plz
Answers
Answer:
21 7/8 square feet
Step-by-step explanation:
To solve the above Question, we have to used the formula of a parallelogram
The formula is given as:
Base × Height
Base = 6 1/4 feet
Height = 3 1/2 feet
Area = 6 1/4 × 3 1/2
Area = 25/4 × 7/2
Area = 175/8
Area = 21 7/8 ft²
Therefore, they would need 21 7/8 square feet poster paper for the parallelogram shaped banner
-1/5(-2 1/4)=
Somebody pleaseee helppp meeeee!
Answers
Find the value of x 117 145 133 140 119 125
Answers
Step-by-step explanation:
x + 779 = 900
x = 900- 779
x = 121
plz mark my answer as brainlist.
hope this will be helpful to you.
The measure of x is 121.
What is Angle Sum Property?To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°.
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 where n is the number of sides.
Given:
We have Heptane and the sum of Angles of Heptane is
= 180 ( n-2)
= 180 (7-2)
= 900
Now, using Angle Sum Property
145 + 133 + 140 + x + 125 + 119 + 117 = 900
779 + x =900
x= 900- 779
x = 121
Hence, the measure of x is 121.
Learn more about Angle sum Property here:
https://brainly.com/question/4316040
#SPJ2
can someone help and explain the answer?
Answers
Answer:
the answer is 2 or 2x
what is the value of x in this picture?
Answers
Answer:
x=15
Step-by-step explanation:
4x+2x=90 degrees
6x=90
x=15
explanation
h
first one to get the correct answer AND answer first gets points and a bonus .
Answers
Answer:
Its 1
Step-by-step explanation:
What is the value of m∠A + m∠B?
Answers
Answer: The answer is 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
What is the next term of the geometric sequence?
20, -10,5,
Answers
Answer:
-2.5
Step-by-step explanation:
-1/2 is the number it is being miltiplied by
because:
20 times -.5 is -10
-10 times -.5 is 5
5 times -.5 is -2.5
the reason for this geometric sequence, is each number being multiplied by -.5
( Please help me on this question! )
( I failed my last unit test, that's why I really need this answer. )
( Thank you, <3 )
...............................................................................................................................
Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
A.) (1, 2), (2, 3), (4, 7)
B.) (2, 2), (4, 4), (6, 6)
C.) (3, 1), (4, 1), (5, 1)
D.) (4, 1), (8, 2), (12, 3)
E.) (2, 1), (4, 3), (5, 4)
Answers
Answer:
i think its b
Step-by-step explanation:
In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?
50%
-33.3%
-50%
66.7%
Answers
Answer:
33.3
Step-by-step explanation:
i´m good at math but hit thanks
Pls help I need to find the missing sides?!!
Answers
Answer:
The missing sides are 13 (small) and 2424 (big)
Step-by-step explanation:
The bigger triangle is bigger by 2 so multiply or divide the sides you do know by 2 to find the missing sides.
BC=12
ED= 12*2= 24
FD= 26
AC= 26/2= 13
What is the surface area of the right prism?
A. 960 in2
B. 1,344 in2
C. 1,920 in2
D. 1,152 in2
Answers
12*24*2 are two faces
24*8*2 are two faces
12*8*2 are two faces
Add all these up:
576+384+192
=1152
Peter was thinking of a number. Peter divides by 7, then adds 5 to get an answer of 13. What was the original number?
Answers
Answer:
56
Step-by-step explanation:
5-13=8
7*8=56
Answer:
the answer is 56(fifty six)....
v+ 7≥ 5 please help me I do not know this
Answers
Answer:
v>-2 ( the > is underlined)
Step-by-step explanation:
Which angles are congruent to each other? Help ASAP
Answers
Answer:
Angles 2 and 4
Angles 3 and 1
Angles 5 and 7
Angles 6 and 8
Angles 10 and 12
Angles 11 and 9
Step-by-step explanation:
¿Que fracciones representan los puntos A, B, C y Den la siguiente recta numérica
Answers
Answer:
can you translate this
Step-by-step explanation:
pls solve this besties 5^-2
Answers
Answer:
0.04
Step-by-step explanation:
Answer: 1/25
Step-by-step explanation: when you go to a negative exponent you get a fraction and .04 is the same as 1/25 by the ways.
can someone plz help
Answers
Answer:
16
Step-by-step explanation:
Answer:
Your Answer is 16 bro Okk and good morning and please mark me as brainliest
factor 15x + 30y plz show work
Answers
Answer:
60
Step-by-step explanation: Simplifying
15x + 30y = 60
Solving
15x + 30y = 60
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-30y' to each side of the equation.
15x + 30y + -30y = 60 + -30y
Combine like terms: 30y + -30y = 0
15x + 0 = 60 + -30y
15x = 60 + -30y
Divide each side by '15'.
x = 4 + -2y
Simplifying
x = 4 + -2y
Answer:
15 ( x + 2y)
Step-by-step explanation:
First 15x + 30y
(3x5)x + (2 x 3 x 5)y
3 x 5 (3x5x/3x5 + 2 x 3 x 5y/3x5)
3 x 5 (x + 2y)
15 (x + 2y)
Hope this helps :)