What is the pythetherom

Mathematics

1 answer:

pashok25 [27]3 years ago

8 0

Answer:

The Pythagorean Theorem states: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

The Pythagorean theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:

a2 + b2 = c2

Step-by-step explanation:

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Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of

Lera25 [3.4K]

Check the picture.

Let the given points represent the following:

F : Charlie's feet
E: Charlie's eyes
P: location of the plane
G: the foot of the perpendicular drawn from P to the ground
A: a point on PG, such that |GA|=|FE|=5.2 feet.

Clearly EAP is a right triangle, with m(AEP)=32°, side PA=1,700-5.2=1694.8 feet.

the ground distance from Charlie to the plane is |FG|=|EA|

from right angle trigonometry, we know that:

 $tan32= \frac{PA}{AE}$

 $0.625= \frac{1694.8}{AE}$

 $AE= \frac{1694.8}{0.625}=2711.68$ feet


Answer: 2711.68 feet