Question 119437
the height of the mountain and the distance to the mountain form a right angle


the height divided by the distance is the tangent of the angle of elevation of the mountain top


let x="height of the mountain" __ x/d=tan(22°) __ x/(tan(22°))=d


x/(d-100)=tan(30°) __ x/(tan(30°))=d-100


x/(tan(30°))=(x/(tan(22°)))-100 __ (x/(tan(30°)))-(x/(tan(22°)))=-100


x(tan(22°))-x(tan(30°))=-100(tan(22°))(tan(30°)) __ x=(-100(tan(22°))(tan(30°)))/((tan(22°))-(tan(30°)))