Answer:
Distance between the two planes after 1 hour = 410 miles
Step-by-step explanation:
Given - A plane leaves and flies due north at 280 miles per hour. At
the same time another plane takes off from the same airport
and flies due east at a speed of 300 miles per hour.
To find - What is the distance between the two planes after 1 hour ?
Proof -
Given that , Plane 1 flies due north at a speed of 280 miles per hour.
So,
Total distance traveled in 1 hour = 280 miles
Also,
Plane 2 flies due east at a speed of 300 miles per hour.
So,
Total distance traveled in 1 hour = 300 miles.
The diagram is as follows :
Now,
We have to find the distance after 1 hour i.e. AC
In Triangle ABC ,
By using Pythagoras theorem, we get
AC² = BC² + AB²
⇒AC² = (300)² + (280)²
⇒AC² = 90,000 + 78,400
⇒AC² = 168,400
⇒AC = √168,400
⇒AC = 410.366 ≈ 410
∴ we get
Distance between the two planes after 1 hour = 410 miles
Answer:
The area of the triangle is
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is =
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE =
DE =
DE =
DE =
Base =
Height is DF
DF =
DF =
DF =
Now, the area of the triangle is
=
=
=
=
