Trig Q: express distance of jet in terms of trig fcn of x

[mrsgigo]

Hi everyone, I'm new to the board, I'm happy to be here and happy to help whenever I can..

Here is my question..

The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizontal distance, in miles, of the jet from the house, express d in terms of a trigonometric function of x...

Thanks for any help..

 

[Random]

2 miles above is a little ambiguous, but draw a picture! For 2 miles above I will use 2 as the altitude, not the hypotenuse.

They are asking for the side of a right triangle. Since 2 is the altitude of the plane, D, the horizonal distance, would be found using tangent.

Tangent = op/adj

Let D = Horizontal Distance
Let x = The angle of elevation in radians

Tan(x)=2/D

D*Tan(x)=2

D= 2/Tan(x)

 

[mrsgigo]

So if I'm gonna write this down on paper as my answer, that is exaxtly how I would write it?.....Thank you for your patience and help.....I'm sorry if I seem dum lol, this stuff is like a foregin language to me..

 

[Random]

Do you understand it?

Here is a picture. That is a house and a plane (I am not good in Paint )
It is a simple triangle problem masked by a words.