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.

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168

60.9774

step-by-step explanation:

because when you add 47.6 plus 7.32 equals 54.92

and when you add .0574 + 6= 6.0574

and when you add 54.92 and 6.0574 you get the answer of 60.9774.

plzz mark brainlest last one got deleted. cause i didn't explain it but i did but i understand what the mod meant