An airplane is flying at a certain height. It makes an angle of depression of 45 degree to the landing spot with horizontal distance between the two being 1100 m. What is the vertical height at which the plane is flying?

Heights and Distances problems on: Applications of right triangles in geometry, including problems involving height and distance, angle of elevation, angle of depression, and multiple observers. Trigonometric ratios can be used to find heights and distances.  Here are some formulas related to height and distance:  Height: height=tan(angle) x  distance Distance: $B (distance)= A (height)tan (e )    Some other useful heights & distance formulas are:  sin = height/ hypotenuse  cosec = hypotenuse/ height  cos = distance/ hypotenuse  sec = hypotenuse/ distance  cot = distance/... Show more

Heights and Distances problems on: Applications of right triangles in geometry, including problems involving height and distance, angle of elevation, angle of depression, and multiple observers.

Trigonometric ratios can be used to find heights and distances. 
Here are some formulas related to height and distance: 

Height: height=tan(angle) x  distance

Distance: $B (distance)= A (height)tan (e )   

Some other useful heights & distance formulas are: 
sin = height/ hypotenuse 
cosec = hypotenuse/ height 
cos = distance/ hypotenuse 
sec = hypotenuse/ distance 
cot = distance/ height 
tan = height/ distance 
sin^2 θ + cos^2 θ = 1 
1 + tan^2 θ = sec^2 θ  

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