The angle of elevation of the top of a lighthouse 100 m high, from two points on the ground on its opposite sides are 45 degree and 60 degree. What is the distance between these two points?

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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