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nordsb [41]
2 years ago
9

A telephone pole that is 12 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above

the ground, what is the angle that the telephone pole makes with the ground?

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
4 0

Answer:

56.44 degrees

Step-by-step explanation:

          sin(measure of the angle)=10/12

sin^-1(sin(measure of the angle))=sin^-1(10/12)

                 measure of the angle=56.44

ollegr [7]2 years ago
4 0

Answer:

The correct answer is, second option

the angle that the telephone pole makes with the ground = 56.4°

Step-by-step explanation:

It is given that,

A telephone pole that is 12 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground

From the figure attached with this answer shows the pictorial representation of the scenario.

We have to find the <B

To find the angle

We have, trigonometric ratio

sin x = Opposite side / Hypotenuse

sin x = 10/12 = 0.8333

x = sin ⁻¹(0.8333)

<x = 56.4°

Second option is the correct answer.

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If a equals 4b - 15 what is b
nlexa [21]

Answer:

b = a + 3.75

Step-by-step explanation:

a = 4b - 15

You are solving for b. Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 15 to both sides

a (+15) = 4b - 15 (+15)

a + 15 = 4b

Next, divide 4 from both sides. Remember to divide from all terms.

(4a + 15)/4 = (4b)/4

b = (4a)/4 + (15)/4

b = a + 15/4

b = a + 3.75 is your answer

~

7 0
3 years ago
8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B.
NNADVOKAT [17]

Answer:

<em>see</em><em> </em><em>explanation</em>

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

-2 {x}^{2}  - 16x - 32 - 5 \\  f(x)= - 2 {x}^{2}  - 16x - 37

7 0
3 years ago
A water well rig has dug to a height of -60 feet after one full day of continuous use. if the rig has been running and is curren
Romashka [77]

Given :

A water well rig has dug to a height , H = 60 feet after one full day of continuous use .

To Find :

If the height is currently 143.6 feet how time it been running .

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So , height loose in 1 hours is :

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Now , time taken to cover a height of 143.6 feet is :

t = \dfrac{143.6}{2.5}\ hours\\\\t=57.44\ hours

Therefore , time taken is 57.44 hours .

Hence , this is the required solution .

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