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AnnZ [28]
3 years ago
9

From a point T on a horizontal ground, the angle of

Mathematics
1 answer:
grin007 [14]3 years ago
6 0

Answer:

distance TS ≈ 19 m (nearest meter)

Step-by-step explanation:

The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms  a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R.  The adjacent side of the triangle is the side TS.

using tangential ratio

tan 63° = opposite/adjacent

tan 63° = 38/adjacent

cross multiply

adjacent tan 63° = 38

divide both sides by tan 63°

adjacent side = 38/tan 63°

adjacent side = 38/1.96261050551

adjacent side = 19.3619670807

distance TS ≈ 19 m (nearest meter)

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s2008m [1.1K]

Answer:

w==77

Step-by-step explanation:

The sum of the 2 opposite interior angles equals the exterior angle.

w-36 +w-20=w+21

combine like terms: 2w-56=w+21

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add 56 to both sides: <u>w=77</u>

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13 of 15
Slav-nsk [51]

Answer:

  1. (√30 - 1, 0)
  2. (-√30 - 1, 0)

Step-by-step explanation:

Making the equation of the parabola :

⇒ y = a(x - h)² + k

⇒ y = (x + 1)² - 17 - 13

⇒ y = (x + 1)² - 30

x-intercepts have y = 0 :

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Taking the square root on each side :

  • √(x + 1)² = √30
  • x + 1 = ±√30
  • x = ±√30 - 1

The x-intercepts are :

  1. (√30 - 1, 0)
  2. (-√30 - 1, 0)
7 0
1 year ago
What multiples of 4 are not factors of 48
Serga [27]
The factors of 48 are 1,2,3,4,6,8,12,16,24, and 48. Take factors of 4, and see which of them are not on that list. 
7 0
3 years ago
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Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0
3 years ago
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