MATHEMATICS COLLEGE

At a point on the ground 20 feet from a building, a surveyor observes the angle of inclination to the top of the building to be pi/3 radians. How tall is the building?

Answers

Answer 1

Answer:

Answer:

34.64 ft

Step-by-step explanation:

Distance from the building = 20 ft

Angle of inclination = π/3 radians

The tangent of the angle of inclination must equal the height of the building divided by the distance of the observer from the building:

$tan( \pi/3) = (h)/(20) \nh = 20*1.73205\nh=34.64\ ft$

The building is 34.64 ft tall

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Answers

If my math is correct you should be able to get 15 walls done, 10 are blue and 5 would be white

3 cm3 cm
3 cm
2 cm
3 cm
6 cm
Find the surface area of the above solid.
A. 81 cm2
B. 78 cm2
C. 84 cm2
D. 72 cm2

Answers

Answer:It’s C

Step-by-step explanation:

Fill in the blank with the missing term in the pattern. 216, 72, 24, ____

Answers

The Answer is 216, 72, 24, 8

ABCD is a rectangle. Find the length of each diagonal.AC=3(x-3)
BD=x+3

AC=___
BD=___

Answers

Answer:

Step-by-step explanation:

Ac = BD

3(x - 3) = x + 3 Distribute the 3

3x - 9 = x + 3 Subtract x from both sides

2x - 9 = 3 Add 9 to both sides

2x = 12 Divide both sides by 2

x = 6

Plug 6 back into either expression to solve for the side length

3(x - 3)

3(6-3)

3(3) = 9

x + 3

6 + 3 = 9

Answer:

AC = BD = 9

Step-by-step explanation:

the diagonals of a rectangle are congruent , then

AC = BD , that is

3(x - 3) = x + 3 ← distribute parenthesis on left side

3x - 9 = x + 3 ( subtract x from both sides )

2x - 9 = x + 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 3(x - 3) = 3(6 - 3) = 3(3) = 9

BD = x + 3 = 6 + 3 = 9

that is AC = BD = 9

A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits in the reverse order, and then subtracted from the original number, the result is 792. Use a system of equations to nd all of the three-digit numbers with these properties

Answers

Answer:

The three-digit numbers with these properties are 850 or 941.

Step-by-step explanation:

Let x be the hundreds digit, y the tens digit, and z the ones digit. The first condition says that $y+z=5$ . The second condition is:

the original number is $(100x+10y+z)$ while the reversed number is $(100z+10y+x)$ so

$(100x+10y+z)-(100z+10y+x)=792\n99x-99z=792$

Now we have the system

$y+z=5\n 99x-99z=792$

You can divide by 99 to simplify the second equation.

$y+z=5\n x-z=8$

Note that x, y, z must be digits between 0 and 9 and $x\neq 0$ . If $z>1$ , then the second equation forces $x>9$ , for example z=2 so x-2=8, x=10 which is impossible. If z=0, you get x=8, y=5 and the number is 850. If z=1, you get x=9,y=4 and the number is 941.

I feel nice today, Here is 100 points

Answers

Answer:

oh well thanks

Step-by-step explanation:

Thank you sooo much l!!!!!

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