Can someone help explain how I would express this trigonometric function?

Question

I'm having some problems trying to work this word problem any and all help is greatly appreciated. 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

Answer 1

I'm assuming the altitude of the jet above the house is 2 miles

tangent = side opposite/side adjacent

tan x = 2/d

d = 2/(tan x)

x = arc tan 2/d
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Answer 2

the only which potential to angles equivalent to or greater effective than 2*pi in radians is they correspond to a minimum of a variety of of finished turns of perspective around the muse. with a view to get the perspective in between the 1st 4 quadrants of turning that has a similar trigonometric function, in simple terms subtract the optimal form of intger multiples of two*pi = a million turn from the perspective which will circulate away a the rest this is constructive and smaller than 2*pi radians. this means that any perspective subtracted away could desire to be a great huge form diverse of pi. occasion: sin(17*pi/2) = sin(8.5*pi) = sin(0.5*pi) , because of the fact 8*pi is 4*(2*pi), so subtract out the 8*pi from the 8*pi. occasion: cos(19*pi/4) = cos(4.seventy 5*pi) = cos(0.seventy 5*pi) = cos(3*pi/4) the three*pi/4 is interior the 2nd quadrant, because of the fact this is larger than pi/2 yet smaller than a million*pi. you may desire to be waiting to make certain your expression actual from this education.

Answer 3

Tangent of angle x = 2miles divided by d
or
d = tangent of angle x divided by 2miles