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guapka [62]
2 years ago
6

What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = ft

Mathematics
1 answer:
Mandarinka [93]2 years ago
3 0

Answer:

X: 13.3 feet

Step-by-step explanation:

Acute Scalene Triangle

Side N = 13.28283

Side P = 9.35004

Side M = 15

Angle ∠N = 61° = 1.06465 rad

Angle ∠P = 38° = 0.66323 rad

Angle ∠M = 81° = 1.41372 rad = 9/20π

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From a window 20 feet above the ground, the angle of elevation to the top of a building across
Nikitich [7]

Answer: The answer is 381.85 feet.

Step-by-step explanation:  Given that a window is 20 feet above the ground. From there, the angle of elevation to the top of a building across  the street is 78°, and the angle of depression to the base of the same building is 15°. We are to calculate the height of the building across the street.

This situation is framed very nicely in the attached figure, where

BG = 20 feet, ∠AWB = 78°, ∠WAB = WBG = 15° and AH = height of the bulding across the street = ?

From the right-angled triangle WGB, we have

\dfrac{WG}{WB}=\tan 15^\circ\\\\\\\Rightarrow \dfrac{20}{b}=\tan 15^\circ\\\\\\\Rightarrow b=\dfrac{20}{\tan 15^\circ},

and from the right-angled triangle WAB, we have'

\dfrac{AB}{WB}=\tan 78^\circ\\\\\\\Rightarrow \dfrac{h}{b}=\tan 15^\circ\\\\\\\Rightarrow h=\tan 78^\circ\times\dfrac{20}{\tan 15^\circ}\\\\\\\Rightarrow h=361.85.

Therefore, AH = AB + BH = h + GB = 361.85+20 = 381.85 feet.

Thus, the height of the building across the street is 381.85 feet.

8 0
3 years ago
What is the missing number in the sentence below?
Karolina [17]
The correct answer is A: 3. This is because...
3 * 4 = 12
12 * 5 = 60
Therefore, the answer is 60.
3 0
3 years ago
The product of two consecutive integers is 72. The equation x(x + 1) = 72 represents the situation, where
Nesterboy [21]

Answer:

x^2 + x-72=0

Step-by-step explanation:

x(x+1) =72

Distribute

x^2 +x = 72

Subtract 72 from each side

x^2 +x - 72 = 0

Now this is the equation we can factor

8 0
3 years ago
1+1=?
miv72 [106K]

Answer:

11

Step-by-step explanation:

one plus another one is 11

0+1+0+1 = 11

4 0
2 years ago
Read 2 more answers
The perimeter of an equilateral triangle is 63 inches. If the length pf each side is (4x-3), write an equation and find the valu
Nady [450]

Answer:

x = 6

Step-by-step explanation:

Givens

There are 3 sides. All are equal to (4x - 3)

Their sum = 63

Formula

3(4x - 3) = 63

Solution

  • 3(4x - 3) = 63            Divide by 3
  • 12x - 9 = 63               Add 9 to both sides
  • 12x = 63 + 9    
  • 12x = 72                    Divide by 12
  • x = 72/12

x = 6                          Answer  

7 0
3 years ago
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