When the angle of elevation of the sun is 78 degrees, a tree casts a 13 foot shadow. How tall is the tree?

Answers

Answer 1

Answer: 61.16 ft

Step-by-step explanation:

We can think in this situation as a triangle rectangle.

where:

The height of the tree is one cathetus

The shadow of the tree is the other cathetus.

We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.

Now we can remember the relationship:

Tg(A) = (opposite cathetus)/(adjacent cathetus)

Where:

A = 78°

Adjacent cathetus = 13ft

opposite cathetus = height of the tree = H

Then we have the equation:

Tg(78°) = H/13ft

Tg(78°)*13ft = H = 61.16 ft


Related Questions

please help and be correct please :( have a explanation also

Answers

Answer:

Part A: 3 bowls    Part B: See Below

Step-by-step explanation:

Part A: If he uses 1/6 to make ONE bowl, 3/6 is one half so he can make THREE bowls.

Part B: Just draw the fact of 1/2 being equal to 3/6 there for making 3 bowls and you'll be good! :)

Hope this Helped! ^ - ^

If b=10, evaluate 40/b A. b=10 B. b=30 C. b=2 D. b=4

Answers

Answer:

d

Step-by-step explanation:

substitute b for 10. you get 40/10. Now simplify it down. 20/5, which simplifies again to 4/1. 4 divided by 1 equals 4, which makes d true. hope this helps

help quick!!
Part A: Bill earned $12 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Write an expression with a variable that shows the total amount of money Bill earned Saturday and Sunday.

Part B: Bill was able to walk 2 more than twice as many dogs as his friend Steve. Write an algebraic expression to represent the number of dogs Bill walked compared with Steve.

Answers

Answer:

Part A: 12 + x

Part B: 2s + 2

Step-by-step explanation:

First thing you need to know is the difference between an expression and an equation. An expression does not have an equal sign, while an equation does.

To write an expression for Part A, first write the 12 (the amount he got on Saturday). Then, we need to write the addition sign (to find the total amount Bill earned). We don't know how much Bill earned on Sunday, so use any variable (I used x). Because we're writing an expression, do not write an equal sign.

To write an expression for Part B, first write the amount of dogs his friend Steve walked using a variable because we don't know that number (I used the variable s). Then, since Bill walked 2 more than twice as many dogs Steve walked, write the s multiplied by the 2 or just 2s. Now add the addition sign (to find the total amount Bill walked). Add a 2 because Bill walked 2 more dogs than twice as many Steve walked.

Hope it helps!

The expressions formed are 12+x and 2y+2.

What is an Expression?

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Let x be the amount of money Bill earned on Sunday.

He earned $12 on Saturday.

The total amount of money Bill earned is,

=> 12 + x

Let the number of dogs Bill's friend Steve walked is y.

Then the expression for the number of dogs Bill walked compared with Steve is,

=> 2y +2

To know more about Expression

https://brainly.com/question/14083225

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How many
many inches long is the base of the building in the drawing?

Answers

180 because 3+3+3+3+3=15*12 (12 inches in each feet)

[tex] \huge \purple{\tt{Answer:}} [/tex]

5 inches

OR

15 feet

50.0 divided by 100 equals??

Answers

Answer:

0.5

Step-by-step explanation:

Hopefully u got it right

Step-by-step explanation:

If you meant 50 divided by 100

[tex]\frac{50}{100} = \frac{1}{2}[/tex]

or just .5

If you meant 500 divided by 100

[tex]\frac{500}{100} = 5\\[/tex]

PLZ help me i will give u many points

Answers

Answer:

im pretty sure its the last one

Step-by-step explanation:

Answer:

be

Step-by-step explanation:

25 over 50 as a reduced fraction

Answers

Answer:

1/2

Step-by-step explanation:

i think that is right

i hope so

have a good day hope that is correct

Answer:

1/2

Step-by-step explanation:

25 is half of 50

Write the expanded form of the expression.
y(0.25 +5)
y(0.25 + 5) =

Answers

(y * .25) + (y * 5)


hope this helps

The expanded form of the expression y(0.25 +5) is 0.25y + 5y.

What are GCF and distributive property?

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Expanded form or Distributive properties are the same in mathematics.

Given, An expression y(0.25 + 5).

So, applying  distributive property a(b + c) = ab + ac to y(0.25 + 5) we have

0.25y + 5y.

= 5.25y.

learn more about the distributive property here :

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please help these two questions show working
thank you :)​

Answers

Answer:

a) The acceleration between 20 and 40 seconds is equal to the slope in that range.

Remember that for aline that passes through the points (a, b) and (c, d) the slope is:

slope = (d - b)/(c - a)

In this case we can see the points:

(20s, 2m/s) and (40s, 4m/s)

Then the slope (and thus the acceleration) is:

slope = (4m/s - 2m/s)/(40s - 20s) = (2m/s/20s) = 0.1 m/s^2

The acceleration between 20 seconds and 40 seconds is 0.1 m/s^2

b) The total distance travelled is equal to the area under the curve.

So we could just count the number of squares, this is the easy way.

We can see that each square measures 10 seconds by 1 m/s, then the "area" of each square represents:

a = (10s)*(1m/s) = 10m

This means that each square represents a distance of 10 meters.

We can count that:

between 0s and 10s we have 1 whole square.

between 10s and 20s we have 2 whole squares.

between 20s and 30s we have 2 and half squares.

between 30s and 40s we have 3 and half squares.

Then the total number of squares under the curve is:

1 + 2 + 2.5 + 3.5 = 3 + 2.5 + 3.5 = 3 + 6 = 9

So we have 9 whole squares under the curve, and each square represents a distance of 10 meters, so the total distance traveled is:

Distance = 9*10m = 90m

c) We have an isosceles triangle where we know that one side measures 8.2 cm and another side measures 9.4cm

An isosceles triangle has two equal sides and one different.

So if we want to have the maximum perimeter, the two equal sides must have the longest side length (9.4 cm)

Then the (largest) perimeter of the triangle (the sum of the lengths of all 3 sides) is:

8.2cm + 9.4cm + 9.4cm = 27cm

Petrol is poured into a barrel.
The graph shows the number of litres of petrol in the barrel.
Calculate how much petrol is being poured into the barrel each minute.

Answers

“How much petrol is being poured each minute” is another way of saying slope. Slope is liters/minute, or rise over run.

It rises 140, and goes over 10.

140/10

= 14 liters per minute,

If you graph a system of equations and they are intersect, they have no solution. True or False someone help pleaseee !!

Answers

Answer:

False

Step-by-step explanation:

If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

I hope this is correct.

What is the solution to 5x-2<13

Answers

Answer:

x<3

Step-by-step explanation:

Step 1: Add 2 to both sides.

5x−2+2<13+2

5x<15

Step 2: Divide both sides by 5.

5x/5 < 15/5

x<3

GIVING POINTS AND BRAINLIEST!!!

Answers

Step-by-step explanation:

biggest circle option C, hope it helps radius = 6 inches

Find 6m if m = 5/13

6 5/13

5

2 4/12

5/78

Answers

m= 5/13
6m= 6(5/13)
6m = 30/13

|x-4|+6=13 solve this equation

Answers

Answer:

I THINK it would be 11.

Answer: x = 11
Hope this helps : )

Mark is having his driveway paved. A diagram of his driveway is shown below. If the company he is using charges $3.50 per square foot, how much will he pay​

Answers

Answer:

He will have to pay $1412.25

Step-by-step explanation:

When you break down the area of the driveway, then add the areas of the different shapes it comes to have an area of 403.5. Multiply the area by the cost per square foot

What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inches, and with a height measuring 7 inches?

Answers

Answer:

98

Step-by-step explanation:

i just finished this practice

Answer:

98 in³

Step-by-step explanation:

I just did the practice with a 100 percent and all answers correct first try :P

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of CD player with a selling price of $110

Answers

Answer:

Total Cost = 1.05x

CD Player cost = 110*1.05 = $115.50

Step-by-step explanation:

plzzzzzzz help quick i have 10 mins left!!!
Isaac is making sandwiches for a group of friends. He needs 3 ounces of meat for each sandwich.

Part A: Isaac is not sure how many sandwiches he will be able to make. Write an expression with a variable that represents the amount of meat Isaac needs for his sandwiches. Identify what the variable represents.

Part B: If Isaac has 18 ounces of meat, how many sandwiches can he make? Create an equation and show all work to solve it.

Answers

Answer:

A)

O = 3S

While O is the number of ounces of meat

While S is the number of sandwiches

B)

S= O/3 = 18/3 = 6 Sandwiches

What is 7+y(3+y) when y=5

Answers

Answer:

47

Step-by-step explanation:

Sub in 5 for y:

7+5(3+5)

7+5(8)

7+40

47

Answer:

96

Step-by-step explanation:

3 + 5 = 8

7 + 5 = 12

So, 12(8) is the same as 12 x 8.

12 x 8 = 96

a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30

Answers

4 elephants

20 monkeys

6 zebras

//

z - 2 = elephants

(6) - 2 = 4 elephants

5(e) = monkeys

5(4) = 20 monkeys

20 + 4 + 7 = 30


What is the value of x? Fill in the blanks.

Answer:
25 = ?
? 4x-4

( ? )(4x-4)=(20)( ? )

100x- ? = 600

100x = ?

X= ?


Answers

25 = 30

20 = 4x-4

(25)(4x-4) = (20)(30)

100x - 100 = 600

100x = 600 + 100

100x = 700

x = 7

Hope it helps!


A child wants to fill up a box with snow he can only carry the box if it weighs under 30 pounds the dimensions of the box are 30in by 24 inches by 24 inches each cubic inch of snow weighs .004 pounds if the child fills the box entirely with snow will he be able to carry the box?

Answers

Answer:

As a rule of thumb, snow weighs approximately 20 pounds per cubic foot, or 1.25 pounds per inch of depth. Depending on moisture content, snow can weigh from 1 pound per cubic foot to over 21 pounds per cubic foot. NOTE: Any ice build-up on the roof would need to be added to this formula.

Step-by-step explanation:

8. Complete the following table. 5x-2y = 6

Answers

Answer:

x=2/5y+6/5

Step-by-step explanation

5x-2y=6

5x-2y+2y=6+2y

5x=2y+6

step 2

5x/5=2y+6/5

x=2/5y+6/5

Answer the photo below thanks

Answers

Answer:

6x60=360

Step-by-step explanation:

60

5x + 2y = 10
What is the substitution?

Answers

Hi there!

The substitutions are 10 and 0.

pls help this is due soon check 2 that apply

Answers

Answer:

I am pretty sure it is option a and c

Sorry if i am wrong

Asystem of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the - y = 4x + 5 y = 4x - 5 2y = 8x - 10 - 2y = 8 - 10​

Answers

Step-by-step explanation:

step 1. The first equation 4x - y = 5 has a slope of 4. The 2nd equation simply cannot have the same slope for there to be 1 solution.

step 2. -y = 4x + 5. This has a slope of -4 so "yes" it could work.

step 3. y = 4x - 5. "no".

step 4. 2y = 8x - 10. The slope is 8/2 = 4. "no".

step 5. -2y = 8x - 10. The slope is 8/-2 = -4. "yes".

Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%

Answers

Answer:

80%:20%

Step-by-step explanation:

100 divided by 5 = 20

20 x 1 = 20

20 x 4 = 80

Meaning 80%(4):20%(1)

Help pls!!! Photo attached.

Answers

Answer:

i hope this helps

Step-by-step explanation:

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