From a point on the ground that is 120 feet from the base of a vertical tree, the angle of elevation to the top of the tree is 30°. Find the approximate height h of the tree to the nearest whole number of feet. (Round your answer to two decimal places.)
Answers
Answer:
[tex]\boxed {\boxed {\sf 69.28 \ feet}}[/tex]
Step-by-step explanation:
Assuming that the tree is perpendicular with the ground, we can use trigonometric ratios to find the height of the tree.
First, let's draw a diagram. From the point on the ground to the base, it is 120 feet and forms a 30 degree angle. We want to find the height of the tree, which is labeled h. (The diagram is attached and not to scale).
Next, recall the ratios.
sin(θ)= opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacentWe see that the height is opposite the 30 degree angle and 120 is adjacent.
opposite=hadjacent=120Since we are given opposite and adjacent, we must use tangent.
[tex]tan ({\theta)=\frac{opposite}{adjacent}[/tex]
Substitute the values in.
[tex]tan(30)=\frac{h}{120}[/tex]
We are solving for h, so we must isolate it. It is being divided by 120 and the inverse of division is multiplication. Multiply both sides by 120.
[tex]120*tan(30)=\frac{h}{120}*120[/tex]
[tex]120*tan(30)=h[/tex]
[tex]120*0.5773502692=h[/tex]
[tex]69.2820323=h[/tex]
Round to the hundredth place (2 decimal places). The 2 in the thousandth place tells us to leave the 8 in the hundredth place.
[tex]69.28 \approx h[/tex]
The height of the tree is about 69.28 feet.
Related Questions
Pamela is 12 years older than jiri the sum of their ages is 78 what is jiri’s age
Answers
Answer:
33
please give me brainliest
please I only need two more :C
Step-by-step explanation:
78 - 12 = 66
66 ÷ 2 = 33
Answer:
Jiri's age is 33 years old
Step-by-step explanation:
let Pamela's age be = x
let Jiri's age be = y
pamela is 12 years older than Jiri
x = 12+y
sum of their age is 78
x+y = 78
use the substitution method to solve this question
x = 12+y -------- (1)
x+y = 78 --------- (2)
substitute (1) into (2)
x+y = 78
12+y+y = 78
12+2y = 78
2y = 78-12
2y = 66
y = 33
b) Find the value of 3^-3x 10^-3
Answers
Answer:
1/27000
Step-by-step explanation:
3^(-3) * 10^(-3)
1/3^3 × 1/10^3
1/27 × 1/1000
1/27000
5+x/2 greater than or equal to 10
Answers
10 is greater than 5+x/2
Please give brainliest :)
A mother paid $15.05 for flour at a store that sells flour for $0.86 per pound.
How many pounds of flour did the mother buy?
Enter your answer as a decimal. ಠಿ_ಠ
Answers
Answer:
17.5
Step-by-step explanation:
15.05 divided by 0.86 is 17.5
Answer:
the mother bought 17.5 pounds
Step-by-step explanation:
clair is at the candy store buying treats for halloween.she buys 7 kilogramsof candy for $14.00
Answers
Answer:
Can I get more reference? I'll help though.
Step-by-step explanation:
Which statement best describes the product of 2/3 and 3/5?
Answers
I NEED HELP. PLEASE PROVIDE ME WITH FULL SOLUTIONS PLEASE AND THANK YOU. Kenny travels a certain distance East from point A to B and then travels a distance of 4.9 km to C. If the distance between point A and C is 13.05 km, then what is the distance Kenny travelled East? WILL MARK BRAINLIEST WHEN I GET THE CHANCE.
Answers
9514 1404 393
Answer:
about 12.10 km
Step-by-step explanation:
The Pythagorean theorem applies. If 'e' represents the distance Kenny traveled East, then ...
e^2 +4.9^2 = 13.05^2
e^2 = 13.05^2 -4.9^2 = 146.2925
e = √145.2925 ≈ 12.095
Kenny traveled about 12.10 km East.
Are the equations 3x = −9 and 4x = −12 equivalent? Explain
Answers
Answer:
yes
Step-by-step explanation:
3x=-9
3x/3 -9/3
x=-3
4x=-12
4x/4 -12/4
x=-3
ps i need brainliest so... plzzz
Which expression represents a positive number? A. 1/5 divided by -4/7 B.-1/5 divided by 4/7 C. -1/5 divided by -4/7 D. 1/5 divided by 4/-7
Answers
Answer:
c
Step-by-step explanation:
remember,
a positive number multiplied or divided by a negative number = negative
a negative number multiplied or divided by a positive number = negative
a positive number multiplied or divided by a positive number = positve
a negative number multiplied or divided by a negative number = positive
so, if you have two numbers of the same sign being multiplied or divided, the answer will always be positive. if you have two numbers of different signs, the answer will always be negative.
within the answer choices, c is the only option where both numbers are negative, which means that if those two negative numbers are divided, you will get a positive answer.
Answer:
C and d!
Step-by-step explanation:
hope that helps!
trent is fishing from a pier.
.the tip of his fishing rod is 53 3/4 feet above the surface of the water.
the hook on the end of the fishing line is directly below the fishing rod 12 2/3 feet below the surface of the water.
trent estimates that the distance between the tip of his fishing rod and hook is less than 65 feet. is trent estimate reasonable? !! EXPLAIN YOUR ANSWER!!
Answers
Answer:
Trent is right because if you subtract 53 and 3/4 by 12 2/3 equals to 41 and 1/12.
Step-by-step explanation:
BRAINLIST WILL be given. Part A is a MULTIPLE SELECT question about which ones are linear . Then Part B ask wether a linear line is a straight or curved line ? only answer if u know ur right thanks .
Answers
Answer:
A,C,and D are linear functions and a inear line is a straight line
Step-by-step explanation:
solve the proportion. 5/7 = 10/x+6
Answers
Hope this helps write the answer
5/7 = 10/x + 6
5/7 = (10+ 6x)/x
5x = 7(10+6x)
5x = 70+42x
5x - 42x = 70
-37x = 70
x = -70/37
Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3 hours. What is the unit rate for all 24 problems? 4 problems per hour 6 problems per hour 8 problems per hour 12 problems per hour
Answers
Answer:
6 problems per hour
Step-by-step explanation:
Total problems = 24
she completed the first 12 problems in 1 hour
The last 12 in 3 hours.
Total time = 1 hour + 3 hours
= 4 hours
unit rate for all 24 problems = total number of problems / total time taken
= 24 problems / 4 hours
= 6 problems per hour
Use the interactive number line to find each sum to complete the table.
A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled a + b with entries 3, R, S, T.
R =
S =
T =
Answers
Answer:
R= -3
S= -3
T= -9
Step-by-step explanation:
i got this right
The required sum using the interactive number line is R = -3, S = -3, and T = -9.
Given a table of the form:
a b a+b
1 2 3
-1 -2 R
-4 1 S
-6 -3 T
It is required to find the value of R, S, and T.
R = -1 + (-2) = -1 - 2
That is on a number line, -1 is taken 2 units to the left.
Then the point is -3.
So, R = -3.
S = -4 + 1
Here, -4 is taken 1 unit to the right.
Then the point is -3.
So, S = -3
T = -6 + (-3) = -6 - 3
Here, -6 is taken 3 units to the left.
Then the point is -9.
So, T = -9
Learn more about Number Lines here :
https://brainly.com/question/17220505
#SPJ2
Ahab travels 88 miles per hour for 7 hours. Find the distance traveled,
in miles.
Tabel required
Answers
Answer:
616 miles
Step-by-step explanation:
so right now, we know that the constant is 88.
there are 7 hours though
so we do 88 x 7 hours
that = 616
so Ahab travled 616 miles in 7 hours.
the table:
miles : hours
88 : 1
616 : 7
HELP PLEASE
-x+6-5x=14-2x
Answers
Answer:
the answer is negative 3 v
Step-by-step explanation:
thank you for your points
Answer:
x = -2
Step-by-step explanation:
Hannah had $58 to spend on gifts. She purchased some key chains that cost
$3 each. After shopping, Hannah had $16 left.
Which equation could be used to find the total number of key chains, n, that
Hannah purchased?
It’s a part a question
Answers
you subtract 16 from 58 to get 42 than multiply 14 times 3 to get 42
Need help for this assignment
Answers
a patio is 6.21 meters and its width is 5.7 what is the approximate perimeter of the patio round your answer to nearest whole number
Answers
Answer:7.5
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
solve the right angle trig problem.
Answers
Answer:
x = 40.7057°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightTrigonometry
[Right Triangle Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
We have a right triangle. We can use trig to find the angle.
Step 2: Identify Variables
Angle = x
Opposite = 15
Hypotenuse = 23
Step 3: Find Angle x
Substitute: sinx° = 15/23Inverse: x° = sin⁻¹(15/23)Evaluate: x = 40.7057°I NEED HELP ASAP!!!!
Answers
Answer:
y=2/4x
Step-by-step explanation:
calculate the slope of the two dots first then put the line according to the slope
Cecilia needs to divide 378 guppies into 3 groups. How many guppies will be in each group?
There will be
guppies in each group.
Answers
Answer:
In each group will be 126 guppies
Step-by-step explanation:
You must divide 378 by 3:
378 = 300 + 60 + 18
378 : 3 = 300 : 3 + 60 : 3 + 18 : 3 = 100 + 20 + 6 = 126
Whoever gets right I’ll give you brainless
Answers
Answer:
figure 2
Step-by-step explanation: look at x and since its zero it will be a straight line across the x middle line and just look in the equation and then look at the y axis and then do it
help me please asap....please
Answers
Answer:
56% 56/100
Step-by-step explanation:
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answers
Select all the ways that describe the graph of the function in interval 2.
A. The function is increasing.
B. The slope is negative.
C. The function is decreasing.
D. The function is constant.
E. The slope is positive.
Answers
Answer:it’s the second answer
Answer Hey this is the slope is negative and the function is decrease As you can see it is saying increasing and positive and decreasing and negative we can see the line is going dow and down means negative
Step-by-step explanation:
Why do we have exponents in the explicit rule?
Answers
Answer:
Step-by-step explanation:So that you can get the answer to round it and opperate the number
find the percent change from 30 to 6
Answers
Answer:
-80.00%
Step-by-step explanation:
1) Find the difference between 30 and 6 as a number.
2) Divide the result from Step 1 by the starting number 30.
3) Multiply the result from Step 2 by 100 to get it in terms of percent.
The three steps above can be made into a formula. Thus, to find the percent change from 30 to 6, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 30, and Y is the ending number 6 that it changed to. When we enter these numbers into the formula, we get:
((6-30)/30)*100 = -80.00%
Thus, the answer to the question "What is the Percent Change from 30 to 6?" is:
-80.00%
The value of 5 - 1/5
Answers
Answer:
1 Answer 1 Answer 1 Answer 1Answer:
4 4/5 or 4.8
Step-by-step explanation:
This always confused me because I never paid attention but you want to multiply the denominator with the outer number and add the outer number into the equation ( Start 5- 1/5=? End up with 25-1 /5= ?) so then you would simplify the problem which would be 24/5 and simplify it again and that will get you 4 4/5.
This makes no sense because i am a visual learner and dont know how to explain things well but I hope I helped you in some kind of way lol.
What is the solution to the following system of
equations?
O (3,-2)
O (-2,3)
O (-3,1)
O (1,-3)
Answers
Answer:
i think the correct answer of these qusion is -3,1
y=-2x+3
y=-3x+1
y=x-3
