Question

Geometry help (:

Answer 1

In the drawing below, the moment at which the aircraft’s wheels touch down on the runway is marked as W. The tower is located at T, and F is the point at which the airplane begins its final approach.The angle marked "angle of descent" and the angle marked "x" are complementary to each other. If the length from F to W is 26,000 feet, what is the altitude of your flight at the moment the plane begins its final descent?

Answer 2

So, I think the complementary angles have to do with Sine and Cosine.

Answer 3

So you basically need to find segment FT, right ?

Answer 4

Well, the angle of descent. I could find the angle given FT, yes.

Answer 5

idk, you gave me enough info.
The only things I know is the triangle 90 and the hypotenuse.

Answer 6

maybe FT and FW are equal ?

Answer 7

The side can't be equal to the hypotenuse :P

Answer 8

I meant to say the 2 legs of the triangle.

Answer 9

FT anf WT

Answer 10

But how would I even find that :P

Answer 11

So you only know that

WF (the hypotenuse) equals 26,000
and the right angle (on the bottom left of the triangle)

??

Answer 12

I can find the length of FT in terms of x.

Answer 13

@ranga -- @phi -- (Having technically difficulties here)

I'm given an angle of depression of descent (36 degrees).

Answer 14

Oh you didn't say that bf

Answer 15

1) to find x, 90-36

2) find the remaining angle in the triangle (sum of angles in a triangle=180)

3) use law of sines.

sinA / a = SinB / b

Answer 16

We haven't learned the laws of Sine...

Answer 17

OK, first tell me what x equals, ( and the remaining angle in a triangle ) .

Also, I can teach you the law of sines right now, your are smart and the law is easy :)

Answer 18

"what is the altitude of your flight at the moment the plane begins its final descent?."

So, we need to find TF, right?

Answer 19

I'll take you up on the Laws of Sine later, but right now I'm pressed for time (:

We would use Cosine.

Cos(54) = TF/26,000

Answer 20

^^^ you have the correct equation there. Solve for TF.

Answer 21

Law of sines.



you will know that angle W equals (also) 54.



can you solve for V ?