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DENIUS [597]
3 years ago
9

An airplane takes off from the ground and reaches a height of 500 feet after flying 2 miles. given the formula h = d tan θ, wher

e h is the height of the plane and d is the distance (along the ground) the plane has flown, find the angle of ascent θ at which the plane took off.

Mathematics
1 answer:
zloy xaker [14]3 years ago
5 0

Height covered by the plane=h= 500 feet

Distance covered by the plane along the ground=d= 2 mile

Now, convert the mile into feet,

1 mile = 5280 feet

2 mile = 10560 feet

Now, use the formula

h= d tanθ

tanθ= h/d

tanθ= 500/10560

tanθ= 25/528

Take the tan⁻¹ on both side,

θ= tan⁻¹(25/528)

θ =2.71°



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musickatia [10]

Answer: 5 1/2 hours

Step-by-step explanation:

1 hour = 12 miles

2 hours = 24 miles

3 hours  =36 miles

4 hours = 48 miles

5 hours = 60 miles

6 hours = 72 miles

66- 60 = 6. 6 is half of 12.

In conclusion, it will take Tavyon 5 1/2 (or 5.5) hours to bike 66 miles.

Hope this helps!

6 0
3 years ago
I need help because I suck at this
skad [1K]
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8 0
3 years ago
С
mafiozo [28]

Answer:

x = 12

Step-by-step explanation:

The shape ABCDEF is an irregular polygon.  

The sum of the interior angles of any regular or irregular polygon = (n - 2) x 180 (where n is the number of sides of the polygon).  

Therefore, the sum of the interior angles of shape ABCDEF = (6 - 2) x 180 = 720°

So to find the value of x, we need to add together all the interior angles and equal it to 720, then solve for x.

Before we do that, we need to determine angle F.

From inspection, we can see that angle F and 52° are a linear pair.  We know that a linear pair of angles add up to 180°, so F + 52 = 180  ⇒  F = 180 - 52 = 128°

Therefore:

                                           A + B + C + D + E + F = 720

(10x - 5) + 108 + (8x - 3) + (14x - 25) + 133 + 128 = 720

Collect like terms:

10x + 8x + 14x - 5 + 108 - 3 - 25 + 133 + 128 = 720

Combine like terms:

32x + 336 = 720

Subtract 336 from both sides:

32x = 384

Divide both sides by 32:

x = 12

8 0
2 years ago
Can you please help me
trapecia [35]
X = 70 and y = 35, I hope this helps
5 0
3 years ago
Read 2 more answers
Three friends were born in consecutive years. The some of their birth years is 5982.find the year in which each person was born
posledela
A+b+c=5982
find the average of the three friends 
5982/3=1994
add and subtract one to find the average 
1994+1=1995
1994-1=1993
add all the years together to check 
1993+1994+1995=5983
3 0
3 years ago
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