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natulia [17]
3 years ago
12

A flagpole is at the top of a building. 300 feet from the base of the building, the angle of elevation of the top of the pole is

32 degrees and the angle of elevation of the bottom of the pole is 30 degrees. Determine the length of the flagpole (to the nearest foot).

Mathematics
1 answer:
Grace [21]3 years ago
7 0

Answer: We can use tangent here to find the length of the flagpole

First, find the length of the building + the flag pole

tan 32 = x/300

x=300tan32=187.460805573

(length of building + flagpole)

find length of building

tan 30 = x/300

x=173.205080757

subtract

187.460805573-173.205080757=14.255724816

round, length of flagpole = 14 feet

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100 because sum means addition so 1+0+0 is one, and one X one hundred is 100

Hope this helps :D

5 0
3 years ago
The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.
Margaret [11]
Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.


5 0
3 years ago
Equivalent Ratios: 300:800 = 30:
Dima020 [189]

Answer:

30:80

Step-by-step explanation:

Because 300 divided by ten is 30 so 800 divided by ten is 80 :)

4 0
2 years ago
Only the smartest person in their math class can help me with this difficult problem!!!
vodomira [7]

Step-by-step explanation:

\tt{(5 {x}^{3}  - 3x + 6) - (2 {x}^{2}  - 4x + 8)}

While subtracting , the sign of each term of second expression changes & remove the parentheses.

⟶ \tt{5 {x}^{3}  - 3x + 6 - 2 {x}^{2}  + 4x - 8}

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⟶ \tt{5 {x}^{3}  - 3x + 4x + 6 - 8 - 2 {x}}^{2}

⟶ \tt{5 {x}^{3}  + x - 2 - 2 {x}^{2} }

In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

\red{ \boxed{ \boxed{ \tt{Our \: final \: answer :  \boxed{ \tt{5 {x}^{3}  - 2 {x}^{2}  + x - 2}}}}}}

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

6 0
2 years ago
Read 2 more answers
Find the equation of the line described.
Lunna [17]

Answer:

y = -1/3x + 4

Step-by-step explanation:

y = 3x +5

current slope m is 3, perpendicular is opposite inverse which is -1/3

Passing through (6,2):

y = mx + b

2 = -1/3(6) + b

2 = -2 + b

b = 4

Use the perpendicular m = -1/3 and b = 4 to form equation of line:

y = mx + b

y = -1/3x + 4

5 0
2 years ago
Read 2 more answers
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