The roof of one building is 400 feet below the roof of another building. A person standing on the lower roof sees another person standing on the higher roof at a 35° angle of elevation.
Approximately how far apart are the buildings? Round to the nearest foot.

Answers

Answer 1

The distance between the two buildings is 844.23 feet apart, we go this answer by simply applying the SOH CAH TOA method

Trigonometry

Given Data

Height of Building A (Opp) = 400 feetAngle of Elevation θ = 35° Distance between the buildings Adj = ??

Applying the SOH CAH TOA Approach we have

Tan  θ = Opp/Adj

Substituting our given data we have

Tan 35 = 400/x

0.4738 = 400/x

make x subject of the formula we have

x = 400/0.4738

x = 844.23 feet

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Related Questions

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?

Answers

Answer:

1/8

Step-by-step explanation:

●●○•°°°□□●○○○○○••••

Hal is going over the credit scores he received from the three major credit bureaus. He Experian score is 711, his Equifax score is 736, and his TransUnion score is 736. What is the mode of Hal’s credit scores? (Round to the nearest whole point, if applicable. ) a. 736 b. 728 c. 723 d. There is no mode in this group.

Answers

The Halls credit score is 2186.

We have given that,he experian score =711

his equifax score =736

his trans union score =736

What is the meaning of Hals score?

Hals credit score = sum of all score.

Hals credit score = sum of all score.

=711+736+736

=2186

Therefore, the Halls credit score is 2186.

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Answer:Answer is A

Step-by-step explanation:grandma told me

PLEASE HELP! ASAP!!!!!

Answers

Answer:

A, E, B

Step-by-step explanation:

please help me with this math! thank you!

Answers

Answer:

Heads or Tails

Step-by-step explanation:

its right there super simple.

In a class of 25 pupils, if 15 are females. Calculate the ratio of males : total

Answers

Answer:

2:5

Step-by-step explanation:

15 are female. 10 must be male.

Out of 25 pupils, 10 are male, so it's 10:25, or 2:5

HELP ME I WILL GIVE BRAINLIEST

Answers

Answer: 42.0

Step-by-step explanation:

what is the area of the figure in square units?​

Answers

Answer:

Area of a Rectangle: l x w

2 x 3 = 6

Area of a Triangle:

[tex] \frac{b \times h}{2} [/tex]

The slanted height of the triangle is 2 and the base of the triangle is also 2 so

[tex] \frac{2 \times 2}{2} \\ \\ \frac{4}{2} = 2[/tex]

So to get the area of the figure you add the area of the rectangle plus the area of the triangle.

6+2=8

The area of the figure is 8 units square

How much money will
be spent in interest
alone over the course of
the 4% 30-year
mortgage described in
the table?

Answers

Answer:

the answer is 4,800 dollars

Step-by-step explanation:

Interest is amount added for time. In this case, every dollar borrowed will require 1.04 back. This may not seem like much, but it leads to a lot. Multiplying 120,000 by .04, which is 4 % in decimal form, will give you 4,800 dollars.

Hope this helps!

Fatima uses 6. 2 pints of white paint and blue paint to paint her bedroom walls. 3 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

2 5 and 1 5 can go into 10
So 2 5 x 2=4 10
and 1 2x5 =5

6 6/9 divided by 1 5/7

Answers

Exact Form:
28/9
Decimal Form:
3.1
Mixed Number Form:
3 1/9

PLEASE HELP ME I CANT GET IT RIGHT

Answers

I believe it should be 216

Which of the following represent lengths of the sides of a
right triangle?
Select all that apply.
A 4,5,6
B 8, 15, 17
C 10, 15, 20
D
5, 12, 13

Answers

B and D because 8^2+15^2=17^2 and 5^2+12^2=13^2

What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14

Answers

5 lol it’s simple just use the two numbers in the middle or the one number in the middle

An Olympic diver is competing for a medal. His height in feet above the water
can be modeled by the function f(x)= -2(x-5)(x+1), where x is the time in seconds
after he begins the dive. Find how long it takes the diver to reach the water?

Answers

It takes the diver 5 s to reach the water.

Quadratic equations

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

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Chris wants to create a rectangular rose garden in his yard. He has 40 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answers

Answer:

Dimension 1 = 12 x 8

Dimension 2 = 14 x 6

Chris should choose Dimension 1

Step-by-step explanation:

Perimeter of a rectangle = 2 × width + 2 × length

                                         = 2(width + length)

Given:

perimeter = 40m

⇒ 40 = 2(width + length)

⇒ width + length = 20 m

Therefore, possible dimensions:

Dimension 1 = 12 x 8  (as 12 + 8 = 20)Dimension 2 = 14 x 6  (as 14 + 6 = 20)

We need to calculate the area of both choices.  The choice with the greatest area will allow the most vegetables to be planted.

Area of Dimension 1 = 12 x 8 = 96 m²Area of Dimension 2 = 14 x 6 = 84 m²

Therefore, Chris should choose Dimension 1 (12 x 8).

3.
The height of a triangle is 4 inches shorter
than its base. The area of the triangle is 198
square inches. Find the dimensions of the
triangle

(system of equation) only 2 please thanks

Answers

Answer:

Base is equal to 22

Hight is equal to 18

Step-by-step explanation:

Because 22 × 18 ÷ 2 is equal to 198

Formula

Hight × base ÷ 2

Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%

Answers

make me brainliest to the bones.

Convert the following fraction to a decimal 20/16

Answers

Answer:

1.25

Step-by-step explanation:

Last one i promise but i need help

Answers

Answer:

a

Step-by-step explanation:

help me please if you know it​

Answers

93/150 would be the final answer

find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help

Answers

Answer: 452.16ft²

Area = πr².
Area = 3.14 × 12²
Area = 3.14 × 144
Area = 452.16ft²

Answer:

Its 452.16

Step-by-step explanation:

Because the formal is  [tex]\pi[/tex]r2

Which is 3.14*12*12=452.16

Let f(x)=4x^2-3 and g(x)=-x^2+2.Find f+g and state the domain. Then evaluate the sum when x=2

Answers

Answer:

f+g = 3x^2-1. domain = all real numbers. then plug in two wherever there is an x.

f(x)=4*2^2-3, which equals 13

g(x)= -2^2+2, which equals -2

add

f+g when x=2 is 11

Step-by-step explanation:

Error Analysis Your friend says that the volume of this sphere is 44.58
m3. Find the correct volume, using 3.14 for r. What mistake might your
friend have made?

Answers

Answer:

the given dimension was used as the radius5.57 m³

Step-by-step explanation:

The volume of a sphere can be found using the formula ...

  V = 4/3πr³ . . . . . where r is the radius

__

The figure points to a diameter line and indicates 2.2 m. The arrowhead is in the middle of a radius line, making it easy to interpret the dimension as the radius of the sphere.

If 2.2 m is used as the radius, the volume is computed to be ...

  V = 4/3π(2.2 m)³ ≈ 44.58 m³

This agrees with your friend's volume, suggesting the diameter was used in place of the radius in the computation.

__

The correct volume, using 2.2 m as the diameter, is ...

  V = 4/3π(1.1 m)³ ≈ 5.57 m³

can someone help me please? I don't understand what I need to do​

Answers

Answer:

You need to find what X= then put the answer in the box to the left

Step-by-step explanation:

what does 13.2 − 1.78 equal

Answers

Answer: it equals 11.42

Step-by-step explanation:

Answer:

11.42

Step-by-step explanation:

is this right? please tell me :) asap!!

Answers

Answer:

A

Step-by-step explanation:

calculate 20% of $88

[tex]\frac{20}{100}[/tex] × $88 = 0.2 × $88 = $17.60

alex earned $ 20.40 in three hours what is the unit rate in dollars per hour

Answers

Divide total made by total hours:


20.40 / 3 = $6.80 per hour

Answer:

See below.

Step-by-step explanation:

Divide the amount of money by the time.

20.4/3=6.8

So, alex earned $6.80 per hour.

-hope it helps

Determine the solution to each linear system by using the substitution method
3x+2y=4
2x-y=5

Answers

Answer:

The solution is x = 2

Step-by-step explanation:

i) 3x+2y=4

ii) 2x-y=5

Let's isolate y for the second equation

2x-y=5

2x-5 = y

y = 2x-5

Now use this y and substitute it in the first equation.

3x+2y=4

3x + 2(2x-5) = 4

3x + 4x - 10 = 4

7x / 7 = 14 / 7

x = 2

help me with this please

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

-15/-3,-5/-1

Step-by-step explanation:

please mark me as brainlest

Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is because
3 ** -3,
The common radio between the langles is 2.5 because -25,
The triangles could be similar
The triangles could not be similar
The ratio of the sidelengths are not consistent
The ratio of the side lengths are consistent

Answers

Answer:

the ratio of the side lengths are consistent

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