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notka56 [123]
3 years ago
11

A man on the fifth floor of a building shouts down to a person on the street. If the angle of elevation from the street to the m

an in the building is 35° and the man in the building is 40 feet up, about how far away from the building is the person on the street? A) 28 feet B) 55 feet C) 56 feet D) 57 feet
Mathematics
2 answers:
AleksandrR [38]3 years ago
3 0

Answer: 57 ft

Step-by-step explanation: Because drawing it up, we can make a right angled triangle with the right angle between the height of the man in the building and the distance out from the building of the man in the street, and the 35 degrees between the line connecting the man in the street with the man in the building, and the line out from the building of the man in the street. Then, tan of the 35 degree angle is = to opposite (40ft)/adjacent (to solve for). By cross multiplication, the A or adjacent (dist out from the building) = 40/0.7 (0.7 = tan of 35 degrees) so the answer is 57 ft. 

ohaa [14]3 years ago
3 0

Answer:

D. 57 ft

Step-by-step explanation:

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How many different ways are there to rearrange the letters of the word EXAM, if you don't care if the results is a recognizable
Vlada [557]
In this case, all letters are unique.

Start by holding the first letter:
E - XAM
E - XMA
E - MAX
E - MXA
E - AXM
E - AMX
So there are 6 combinations here.

Repeat for all 4 letters.

6 x 4 = 24

This is same as 4x3x2x1.

For 3 unique characters, it is 3x2x1.
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6 0
3 years ago
Find the perimeter of the following shapes.
DerKrebs [107]

Answer:

4. (a) = 12 m

   (b) = 27 cm

   (c) = 24 mm

   (d) = 18 km

   (e) = 10 m

   (f) = 36 cm

Step-by-step explanation:

Perimeter is sum the distance round a figure.

if a shape has those, they signify that the shape has two side that are equal

a)  4 + 4 + 2 + 2 = 12. The top part is equal to the bottom part signified by those two lines. And the left is equal to the right .

b)  10 + 10 + 7 = 27

c) 5 + 5 + 8 + 6 = 24

d)  3 + 3 + 6 + 6 = 18

e) 2.5 + 2.5 + 2.5 + 2.5 = 10

f) 12 + 7 + 7 + 5 + 5 = 36

If you need any clarification or more explanation pls do mention in the comment section. i would like to help more.

Hope this helps and if it does pls mark as branliest answer thx.

6 0
3 years ago
A 36 ft tree casts a 9 ft shadow at the same time a building casts a 15 ft shadow. How tall is the building?
mote1985 [20]

Answer: The height of the tree is  27f t

Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.

h/s

h/15=18/10

Cross multiply

10.h= 18*15

10h=270

Use the multiplicative Inverse

10 h/ 10 = <em><u>270 /10 =27</u></em>

7 0
2 years ago
use green's theorem to evaluate the line integral along the given positively oriented curve. c 9y3 dx − 9x3 dy, c is the circle
Rina8888 [55]

The line integral along the given positively oriented curve is -216π. Using green's theorem, the required value is calculated.

<h3>What is green's theorem?</h3>

The theorem states that,

\int_CPdx+Qdy = \int\int_D(\frac{\partial Q}{\partial x} - \frac{\partial P}{\partial y})dx dy

Where C is the curve.

<h3>Calculation:</h3>

The given line integral is

\int_C9y^3dx-9x^3dy

Where curve C is a circle x² + y² = 4;

Applying green's theorem,

P = 9y³; Q = -9x³

Then,

\frac{\partial P}{\partial y} = \frac{\partial 9y^3}{\partial y} = 27y^2

\frac{\partial Q}{\partial x} = \frac{\partial -9x^3}{\partial x} = 27x^2

\int_C9y^3dx-9x^3dy = \int\int_D(-27x^2 - 27y^2)dx dy

⇒ -27\int\int_D(x^2 + y^2)dx dy

Since it is given that the curve is a circle i.e., x² + y² = 2², then changing the limits as

0 ≤ r ≤ 2; and 0 ≤ θ ≤ 2π

Then the integral becomes

-27\int\limits^{2\pi}_0\int\limits^2_0r^2. r dr d\theta

⇒ -27\int\limits^{2\pi}_0\int\limits^2_0 r^3dr d\theta

⇒ -27\int\limits^{2\pi}_0 (r^4/4)|_0^2 d\theta

⇒ -27\int\limits^{2\pi}_0 (16/4) d\theta

⇒ -108\int\limits^{2\pi}_0 d\theta

⇒ -108[2\pi - 0]

⇒ -216π

Therefore, the required value is -216π.

Learn more about green's theorem here:

brainly.com/question/23265902

#SPJ4

3 0
2 years ago
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