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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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24. Identify the center and radius of the circle given the equation (x +15)2 + (7 - 9)2 = 25 .
kykrilka [37]

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center (x_0, y_0) and radius r is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

In this question, we have that:

(x + 15)^2 + (y - 9)^2 = 25

Comparing both equations:

x - x_0 = x + 15

x_0 = -15

And

y - y_0 = y - 9

y_0 = 9

The center is (-15,9).

For the radius:

r^2 = 25

r = \sqrt{25} = 5

The correct answer is given by option a.

8 0
3 years ago
I WILL GIVE BRAINLIEST to who answers this question right
nydimaria [60]

Answer:

  41 2/3 feet

Step-by-step explanation:

The sum of wall lengths (in feet) is ...

  (12 1/4) + (10) + (12 1/4) + (10 -2 5/6)

  = (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)

  = 42 + (3/12 + 3/12 -10/12)

  = 42 - 4/12 = 42 - 1/3

  = 41 2/3 . . . feet

7 0
4 years ago
Dave has a board that is 314 feet long. He cut off 178 feet from the board. How long is the remaining piece of board?
m_a_m_a [10]

Answer:

314-178=136 the remainig piece of board is 136

Step-by-step explanation:

so first u subtract 314 with 178 becuase it said that he cut off so u subtract then after u subtract u get the answer 136

5 0
3 years ago
What is 12/15 written as a percent and decimal
Reika [66]
12/15 is the answer in fraction form
80 % is the answer in percentage form
0.80 is the answer in decimal form
6 0
4 years ago
Which statements are correct? Check all that apply.
Talja [164]
Here is the answer i hope it helps

7 0
3 years ago
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