Akite needs to be flown at a height 45 feet in the air. the kite's string will be attached to a pole, at a point 5 feet above the ground. the angle of elevation from the point where the string is attached to the kite is 45º. what is the length of the rope that will hold the kite at the correct height? the length of the rope is approximately feet.

The length of the rope is approximately 56.57 feet.

Here, Kite's position is at point A which is 45 ft above the ground.

So, in the diagram AC= 45 ft.

B is the point on the pole above 5 ft. from ground, where the kite's string will be attached. So, BD= 5 ft

In the diagram, we will draw a line from point B parallel to the ground which will meet the line AC at point E.

As, BD= 5 ft, so EC= 5 ft also. Now, AE= AC - EC = 45- 5 = 40 ft.

The angle of elevation of the string from the kite's position is 45°

For that, ∠ABE = 45° also (according to the Alternate Interior Angles)

So, in right angle triangle ABE,

in respect of ∠ABE, opposite side(AE)= 40 and we need to find the length of the rope, which is hypotenuse AB.

As, Cosθ =

So, in ΔABE,

Cos(45°) =

⇒

⇒ AB×√2 =80 (by cross multiplication)

⇒ AB = (multiplying up and down by √2)

⇒ AB = 40√2 = 56.57 (approximately)

So, the length of the rope is approximately 56.57 feet.

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

t

step-by-step explanation:

ever thing time 1 is a multiply by 1 it get